Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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use your graphing calculator to sketch the graph of the following quadr…
D
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question graph the following function on the axes provided. $f(x) = \\b…
To graph the piece - wise function: 1. For \( y=-x - 4, x < 1 \): Draw a line with slope - 1. Plot the point (0, - 4) and draw the line towards the left and towards \( x = 1 \) (o…
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an object is launched from a platform. its height (in meters), x second…
60
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you are manufacturing ceramic lawn ornaments. after several months, you…
To find the \( x \)-intercepts of the profit function \( P(n) = -0.002n^2 + 5.2n - 1203 \), we set \( P(n) = 0 \) and solve for \( n \). ## Step 1: Set up the equation We have the…
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14. which graph or table shows the proportional relationship described …
B. The graph in option B
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state where the graph of f is increasing and where it is decreasing. f(…
For the decreasing part: \( x < 1 \)
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state where the graph of f is increasing and where it is decreasing. f(…
\(x > 1\)
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antoine stands on a balcony and throws a ball to his dog, who is at gro…
16
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use your graphing calculator to sketch the graph of the following funct…
For the domain: B. The domain is all real numbers. For the range: A. The range is \( y \geq -16 \) (or in boxed form, if needed, \(\boxed{y \geq -16}\))
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4.2.12b part 2 of 3 hw score: 40.63%, 13 of 32 points points: 0 of 1 us…
B. The domain is all real numbers.
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graph the following function on the axes provided. $f(x) = \\begin{case…
To graph the piecewise function: - For \( x < -4 \), draw the line \( y = x \) (slope 1, open circle at \( (-4, -4) \), extending left). - For \( x > 5 \), draw the horizontal lin…
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find the coordinates of the x-intercepts for the following function, if…
A. The x - intercept(s) is(are) \((1,0),(3,0)\)
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solve the following logarithmic equation. be sure to reject any value o…
A. The solution set is $\boldsymbol{\{e^3\}}$ (Type an exact answer in terms of $e$)
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use your graphing calculator to sketch the graph of the function, and t…
$x > 0$
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use your graphing calculator to sketch the graph of the function, and t…
C. The graph of \( y = -x^2 + 96 \) is a parabola opening downward (since the coefficient of \( x^2 \) is negative). The vertex form of a parabola is \( y = a(x - h)^2 + k \), her…
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error analysis jake was asked to estimate the solution of the system of…
Jake likely mixed up the x - coordinate and y - coordinate of the solution. The correct solution is $(-0.5, - 1)$, while Jake gave $(-1, - 0.5)$, showing a swap of the x and y val…
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homework: 21b 1111 - exponential and logarithmic edns homework (sec. 4.…
$x = e^3$ (or decimal approximation $x \approx 20.0855$)
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use your graphing calculator to sketch the graph of the function, and t…
\( x > 0 \)
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solve the following logarithmic equation. be sure to reject any value o…
The solution set is \(\{36\}\) (so the correct choice is A with \(x = 36\))
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use your graphing calculator to sketch the graph of the function, and t…
C. The graph with the upward - opening parabola (the third graph option)
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what are two actions that congress has the power to do that affects for…
A. power of the purse B. ratify treaties
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use your graphing calculator to sketch the graph of the following quadr…
B. The domain is all real numbers.
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use your graphing calculator to sketch the graph of the following quadr…
C.
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use your graphing calculator to sketch the graph of the function, and t…
\((-6.71, 0), (6.71, 0)\) (or more precisely \((-\sqrt{45}, 0)\), \((\sqrt{45}, 0)\) which is \((-3\sqrt{5}, 0)\), \((3\sqrt{5}, 0)\) approximately \((-6.71, 0)\), \((6.71, 0)\))
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use your graphing calculator to sketch the graph of the function, and t…
B. The graph with the upward - opening parabola (the second graph)
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use the graph to determine the behavior of the function between the ind…
A and B: increasing B and C: decreasing C and D: constant D and E: decreasing
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use your graphing calculator to sketch the graph of the function, and t…
\(x < 8.5\)
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use your graphing calculator to sketch the graph of the function, and t…
C. (assuming the third graph is the correct one based on the parabola opening downwards and vertex position)
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use your graphing calculator to sketch the graph of the function, and t…
\( x \geq 7.5 \)
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use your graphing calculator to sketch the graph of the function, and t…
B. (Assuming the graph in option B shows a parabola opening downward with vertex in the right half of the window, consistent with the function \( g(x) = -x^2 + 15x - 54 \))
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use your graphing calculator to sketch the graph of the function, and t…
$x \geq 6.5$
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use your graphing calculator to sketch the graph of the function, and t…
C. (assuming the third graph is a downward - opening parabola with roots in a reasonable position; and the interval where the function is decreasing is $(\frac{13}{2},\infty)$ or …
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a certain companys main source of income is selling cloth bracelets. th…
4
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use your graphing calculator to sketch the graph of the function, and t…
\(x < 4.5\)
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use your graphing calculator to sketch the graph of the function, and t…
C. (Assuming the visual check: The function \( g(x) = -x^2 + 9x - 8 \) is a quadratic function with a negative leading coefficient, so it opens downward. The vertex of a parabola …
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additional practice 2.9 ap 1 what is the graph of the equation $y = -\\…
Move down \(1\), and then move right \(4\). You are now at the point \((4,1)\)
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use your graphing calculator to sketch the graph of the following quadr…
B. The domain is all real numbers.
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use your graphing calculator to sketch the graph of the following quadr…
C
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use your graphing calculator to sketch the graph of the function, and t…
The x-intercept(s) is(are) \((2, 0)\), \((9, 0)\)
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use your graphing calculator to sketch the graph of the function, and t…
B
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e slope of the line is negative, so it goes from left to right.
down
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what is the graph of the equation $y = -\frac{1}{4}x + 2$? the y-interc…
The line crosses the y - axis at the point \((0,2)\) and goes down from left to right.
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determine the characteristics of the quadratic function shown below. a.…
s: a. upward b. \( x=\frac{1}{2} \) c. \( (\frac{1}{2},-\frac{31}{4}) \) (or \( (\frac{1}{2}, - 7.75) \)) d. \( -7 \)
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the number of mosquitoes in anchorage, alaska (in millions of mosquitoe…
49
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2 complète la description de la fonction périodique représentée. domain…
- Domaine : \( \{-6, -4, -2, 0, 2, \dots\} \) (ou \( x \in \mathbb{Z} \) avec \( x \geq - 6 \) et \( x \) pair) - Image : \( \{-1\} \) - Ordonnée à l'origine : \( -1 \) - Abscisse…
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what is the product? 0.4(-1.08) =
\( -0.432 \)
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x = 8 y = x^2 + 8 the graphs of the equations in the given system of eq…
D)72
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wyatt had $3,200 in a savings account with simple interest. he had open…
15
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convert the radian measure to degrees. \\frac{28\\pi}{15}
\( 336^\circ \)
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convert the following radian measure to degree measure \\(\\frac{4\\pi}…
$240^\circ$
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determine whether the function is one-to-one f(x) = 3x³ - 5 is the func…
B. Yes, because each \(x\) - value corresponds to only one \(f(x)\) value, and each \(f(x)\) value corresponds to only one \(x\) - value
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solve the equation. give the solution in exact form.\\(\\log _{4}(x + 7…
$4^3=(x + 7)(x - 5)$ (or simplified as $64=(x + 7)(x - 5)$)
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consider the function $y = 2\\sin(x)$ for $0^\\circ \\leq x \\leq 360^\…
The graph of \( y = 2\sin(x) \) for \( 0^\circ\leq x\leq360^\circ \) has x - intercepts at \( (0^\circ, 0) \), \( (180^\circ, 0) \), \( (360^\circ, 0) \), a maximum at \( (90^\cir…
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a major limitation of the case study method is the inability to ______ …
D) Generalize
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2 mark for review which of the following best explains the diffusion of…
C. Both domesticated plants and animals spread across the globe through contagious diffusion in early years by farmers and traders, and later by relocation diffusion through Europ…
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the equation $y = x^2 + 1$ represents a function. use the function rule…
For \( x = -1 \), \( y = 2 \); for \( x = 0 \), \( y = 1 \); for \( x = 1 \), \( y = 2 \); for \( x = 2 \), \( y = 5 \). So the completed table (row - by - row for the empty cells…
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the equation $y = x^2 + 1$ represents a function. when the input is $-2…
\( 5 \)
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use the function rule to complete the table. input (x) output (y) -1 -3…
For \( x = 0 \), \( y=-1 \); for \( x = 1 \), \( y = 1 \); for \( x = 2 \), \( y=3 \) (If we only need to fill the table, the values are: when \( x = 0 \), output is \(-1\); \( x …
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if the graph shows a function. (1) input = 1: exactly one output, which…
Does each input have exactly one output? No Does the graph show a function? No
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12 find: a the height of a rectangular prism with base 5 cm by 3 cm and…
\(\frac{8}{3}\space\text{cm}\) (or approximately \( 2.67\space\text{cm} \)) ### Part (b)
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t(x) = 2(3)^x - 3 r(x) = -2(3)^x + 3 w(x) = -2(3)^{x + 3} + 3 q(x) = 2(…
Top - left: \( r(x)=-2(3)^x + 3 \) Top - right: \( w(x)=-2(3)^{x + 3}+3 \) Bottom - left: \( q(x)=2(3)^{x + 3}-3 \) Bottom - right: \( t(x)=2(3)^x - 3 \)
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r(x) = 2(1.25)^{x - 4}\ g(x) = 2(1.25)^{x + 4}\ j(x) = 2(1.25)^{x - 4} …
- \( r(x) \): Bottom - Left Graph - \( g(x) \): Top - Right Graph - \( j(x) \): Top - Left Graph - \( c(x) \): Bottom - Right Graph
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question 25 for the following exercise, perform the indicated operation…
\(-4 - 4i\) ### Question 26
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u(x) = 3(2.5)^x + 3; t(x) = 2.5^x - 3; h(x) = -3(3.5)^x; g(x) = -(3.5)^x
- Top - left graph: \( u(x)=3(2.5)^x + 3 \) - Top - right graph: \( h(x)=-3(3.5)^x \) - Bottom - left graph: \( t(x)=2.5^x - 3 \) - Bottom - right graph: \( g(x)=-(3.5)^x \)
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v(x) = 3(5)^x - 3 n(x) = 5(3)^x + 3 z(x) = 5(3)^x - 3 g(x) = 3(5)^x + 3
To match the functions to the graphs: - \( v(x)=3(5)^x - 3 \): Bottom - right graph - \( g(x)=3(5)^x + 3 \): Top - left graph - \( n(x)=5(3)^{x + 3} \): Top - right graph - \( z(x…
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z(x) = 4(0.75)^{x + 2} + 4 v(x) = -4(0.75)^{x + 2} - 4 s(x) = -4(0.75)^…
Top - left graph: \( z(x) = 4(0.75)^{x + 2}+4 \) Top - right graph: \( s(x)=-4(0.75)^{x - 2}+4 \) Bottom - left graph: \( m(x)=4(0.75)^{x - 2}-4 \) Bottom - right graph: \( v(x)=-…
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j(x) = 3(0.5)^{x + 2}\ r(x) = -3(0.5)^{x + 2}\ z(x) = 3(0.5)^{x} + 4\ t…
To match the functions to the graphs: - \( r(x) = -3(0.5)^{x + 2} \): Top Left Graph (increasing, reflection, shifted left 2, horizontal asymptote \( y=0 \)) - \( j(x) = 3(0.5)^{x…
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p(x) = 4(1.5)^x + 3; m(x) = 4(1.5)^x - 6; t(x) = 1.5^x + 3; w(x) = 1.5^…
Top - left: \( \boldsymbol{m(x)=4(1.5)^x - 6} \) Top - right: \( \boldsymbol{t(x)=1.5^x + 3} \) Bottom - left: \( \boldsymbol{p(x)=4(1.5)^x + 3} \) Bottom - right: \( \boldsymbol{…
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read the excerpt from obama’s second inaugural address this generation …
C. to inspire the American people to collectively work toward a better future
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t(x) = 6(1.5)^{x + 2} - 4; v(x) = 6(1.5)^{x + 4} + 2; s(x) = 6(1.5)^{x …
Top - Left: \( t(x) = 6(1.5)^{x + 2}-4 \) Top - Right: \( v(x) = 6(1.5)^{x + 4}+2 \) Bottom - Left: \( s(x) = 6(1.5)^{x + 4}-2 \) Bottom - Right: \( j(x) = 6(1.5)^{x - 2}-4 \)
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t(x) = 2(1.5)^{x + 4}\ z(x) = -3(1.5)^x\ c(x) = -2(1.5)^x + 4\ g(x) = 3…
Top - Left Graph: \( t(x)=2(1.5)^{x + 4}\) Top - Right Graph: \( g(x)=3(1.5)^x-4\) Bottom - Left Graph: \( z(x)=-3(1.5)^x\) Bottom - Right Graph: \( c(x)=-2(1.5)^x + 4\)
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day 4: min & max word problems 1 chapter 3: quadratic relations 2. the …
The price that maximizes revenue is \(\$800\), and the maximum revenue is \(\$480000\).
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question 15 evaluate the exponential function for the indicated value o…
\( 64.00 \)
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match each exponential function to its graph. m(x) = 3(2)^x + 4 g(x) = …
Top - Left Graph: \( m(x) = 3(2)^x + 4 \) Top - Right Graph: \( g(x) = 2(3)^x + 4 \) Bottom - Left Graph: \( h(x) = 3(3)^x + 2 \) Bottom - Right Graph: \( k(x) = 4(3)^x + 2 \)
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match each exponential function to its graph. u(x) = 3.5(2)^x, r(x) = -…
- \( u(x)=3.5(2)^x \): Top - Right Graph - \( r(x)=-3.5(2)^x \): Bottom - Right Graph - \( p(x)=3.5(0.2)^x \): Bottom - Left Graph - \( n(x)=-3.5(0.2)^x \): Top - Left Graph
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for the following exercise, evaluate the function f at the given values…
\( f(-2) = 27 \), \( f(-1) = 13 \), \( f(0) = 5 \), \( f(1) = 3 \), \( f(2) = 7 \)
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for the following exercise, find the domain of the function using inter…
\((-\infty, 5)\)
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graph the function $f(x) = x^2 + 3$. then use the line tool to draw the…
The graph of \( f(x)=x^2 + 3 \) is a parabola opening upwards with vertex at \( (0, 3) \), the line \( x = 0 \) is the y - axis, and the point \( (0, 3) \) is plotted. (The actual…
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if you walk \\(\\frac{2}{3}\\) mile and then jog \\(\\frac{4}{7}\\) mil…
\(\frac{2}{21}\)
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definition the maximum amount an insurance company will pay if you file…
The term being defined is "Policy Limit" (the maximum amount an insurance company will pay for a covered claim). The relevant subfield is Business - Finance.
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find a rational number halfway in between the two numbers. \\(\frac{6}{…
\( \frac{23}{44} \)
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which idea would thomas hobbes support? the government should have abso…
A. The government should have absolute power over the people.
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express the following rational number as a decimal. \\(\\frac{1}{7}\\) …
C. $0.\overline{142857}$
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the page of a car insurance policy which includes a summary description…
4. Policy Summary
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choose an answer the page of a car insurance policy which includes a su…
1. Policy Summary
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the maximum amount an insurance company will pay if you file a claim ch…
1. Coverage Limit
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the sum, ( s_n ), of the first ( n ) terms of an arithmetic sequence is…
\(8256\)
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add and simplify. $9\\frac{1}{4}$ $+20\\frac{1}{8}$ options: $9\\frac{3…
$29\frac{3}{8}$
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graph the complex number as a vector in the complex plane. 4 + 7i choos…
A. (The graph corresponding to Option A, which has a vector with real part 4 (right on x - axis) and imaginary part 7 (up on y - axis))
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insert < or > to form a true statement. \\frac{4}{5} \\frac{7}{15} \\bi…
\(>\) ### Second problem: Finding an equivalent fraction for \(\frac{3}{10}\) with denominator \(50\)
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18 mark for review a water tank is leaking water from a crack in its ba…
D. \( W^{-1} \) is a decreasing function of the amount of water in the tank.
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14 mark for review the function f is defined by f(x) = √(4 - x²) for -2…
C. $-\sqrt{4 - x^2}$ for $0 ≤ x ≤ 2$
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evaluate. 0.02²
\(0.0004\)
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2. $y = -\frac{1}{2}(x - 1)(x - 9)$ p = 1 q = 9 vértice: x = \\frac{p +…
The vertex of the parabola \( y = -\frac{1}{2}(x - 1)(x - 9) \) is \( (5, 8) \) (Note: There was a miscalculation in the original handwritten work. Let's correct it step - by - st…
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divide. write your answer as a fraction or a mixed number in simplest f…
\(6\frac{9}{10}\) (or \(\frac{69}{10}\))
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find the y-coordinate of the y-intercept of the polynomial function def…
5
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find the y-coordinate of the y-intercept of the polynomial function def…
9
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find the y-coordinate of the y-intercept of the polynomial function def…
\(-45\)
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answer attempt 1 out of 2 the degree of f(x) is even and the leading co…
The degree of \(f(x)\) is even and the leading coefficient is negative. There are 2 different real zeros and 3 relative extrema.
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what is the value of f(-3) for each function? 1. f(x) = 4x - 9 2. f(x) …
1. \( f(-3) = -21 \) 2. \( f(-3) = 14 \) 3. \( f(-3) = -5 \)