Cálculo
Límites, derivadas, optimización y comportamiento de funciones.
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graph each equation of the system. then solve the system to find the po…
A. The graphs intersect at \((0, 6)\), \((2, 10)\)
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answer attempt 1 out of 2 $f(x) = \\begin{cases} \\boxed{} \\text{ for …
\( f(x)=\begin{cases}4 & \text{for } x < 2\\-x + 8 & \text{for } 2 < x < 5\end{cases} \)
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solve the following equation.\\(\\log_6 x = 3\\)\ rewrite the given equ…
- Rewrite without logarithms: $6^{3}=x$ - Solution set: $\{216\}$
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express the function graphed on the axes below as a piecewise function.…
\(f(x)=\begin{cases}-5 & \text{for } - 6\lt x\lt1\\-\frac{4}{5}x-\frac{16}{5} & \text{for } 1\lt x\lt6\end{cases}\) (or if we assume a slope of \(-1\) and end - point at \(x = 5\)…
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throughout the day, the depth of water at the end of a dock varies with…
(Assuming options are graphs, we would identify the graph with midline \( y = 7 \), max 12, min 2, period ~12.57, and shifted right by 4. Since no graphs are shown here, but in a …
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which of the following situations can be modeled with a periodic functi…
the height of a pebble stuck in the tread of a tire
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which function represents g(x), a reflection of f(x) = \\frac{1}{2}(3)^…
\( g(x)=\frac{1}{2}(3)^{-x} \) (the third option)
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texascollegebridge study paths tx math bridge - stage 2 topic test: roo…
6.9
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for the quadratic function $f(x)=x^2 + 2x - 8$, answer parts (a) throug…
(a) The vertex is \((-1,-9)\); The axis of symmetry is \(x = - 1\); The graph is concave up. (b) The y - intercept is \(-8\) (A. The y - intercept is \(-8\)); The x - intercepts a…
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which exponential function is represented by the graph? $f(x) = 2\\left…
\( f(x)=\frac{1}{2}(2)^x \) (the second option: \( f(x)=\frac{1}{2}(2)^x \))
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for the quadratic function f(x)=x²+2x-8, answer parts (a) through (c). …
s: (a) Concave up (b) Y - intercept: A. The y - intercept is \(-8\); X - intercepts: A. The x - intercept(s) are \(-4, 2\) (c) (Graphing: Plot the y - intercept \((0, - 8)\), x - …
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what is the initial value of the exponential function shown on the grap…
2
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the function $h(t) = -16t^2 + 96t + 6$ represents an object projected i…
B. 3 seconds
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which function represents a reflection of $f(x) = 5(0.8)^x$ across the …
\(g(x)=-5(0.8)^{x}\) (the second option)
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what is the initial value of the exponential function represented by th…
\(\frac{1}{2}\) (the first option in the list of choices, which is labeled with \(\frac{1}{2}\))
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what is the initial value of the exponential function shown on the grap…
4 (corresponding to the option with value 4)
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the table represents an exponential function. | x | y | | --- | --- | |…
\(\boldsymbol{\frac{3}{4}}\) (corresponding to the first option, e.g., if options are labeled A: \(\frac{3}{4}\), then A. \(\frac{3}{4}\))
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find all values of k for which the quadratic equation has one real solu…
\(k = \frac{81}{28}\)
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ponential functions which graph is the sequence defined by the function…
The Left Graph (the first graph with points (1,3), (2,6), (3,12), (4,24), (5,48))
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nina knows that the average of the x-intercepts represents the line of …
\(\boldsymbol{\frac{1 + 5}{2} = 3}\) (the third option: \(\frac{1 + 5}{2} = 3\))
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solve the following inequality. graph the solution set. |9 - 2x| > 11 s…
A. The solution set in interval notation is \((-\infty, - 1)\cup(10, \infty)\) (For the graph, the correct one should have open circles at -1 (arrow left) and 10 (arrow right), wh…
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is \(-5\). (For drawing the rise and run: from a point on the line, draw a vertical line for rise (downward if negative) and horizontal line for run (rightwa…
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what function is graphed below? (graph of a trigonometric function with…
\( y=\tan(x)+2 \) (the option with this function, assuming the last option is \( y = \tan(x)+2 \))
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question 11 your answer is incorrect. solve for x: \\(6^x = 3\\) a) \\(…
d) \(x=\log_6(3)\)
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which table represents exponential growth? (four tables with x and y va…
The table in the top - left (with \( x = 1,y = 2 \); \( x = 2,y = 4 \); \( x = 3,y = 8 \); \( x = 4,y = 16 \)) represents exponential growth.
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what are the domain, range, and asymptote of $h(x) = 6^x - 4$? domain: …
domain: \(\{x \mid x \text{ is a real number}\}\); range: \(\{y \mid y > -4\}\); asymptote: \(y = -4\)
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use the image to answer the question. the function $f(x)$ is labeled in…
The inverse of \( f(x) \) is \( c(x) \) because the graph of an inverse function is the reflection of the original function's graph over the line \( y = x \), and \( c(x) \) shows…
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mathematics i a-g cr sem a aguirre exponential functions which formula …
\(f(x) = 1.2(2.5)^{x - 1}\) (the third option in the list of given formulas)
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cubic & cube root functions cubic & cube root functions unit test back …
- Corresponding to \((-1, -1)\): \((-1, -4)\) - Corresponding to \((0, 0)\): \((0, 0)\) - Corresponding to \((1, 1)\): \((1, 4)\) - Corresponding to \((8, 2)\): \((8, 8)\)
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cubic & cube root functions cubic & cube root functions unit test back …
Option #3: \([-\infty, \infty]\)
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given the function $f(x) = 4x^3 - x$, which of the following describes …
\( (-\infty, \infty) \) (the first option)
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which is the graph of $f(x) = \\frac{1}{4}(4)^x$? four graphs are shown…
The bottom - left graph (the fourth graph, the one with the curve passing through \((1,1)\) and \((2,4)\))
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determine the slope and y-intercept of the line. y = 8.5x + 6 a. slope …
d. Slope = 8.5, y - intercept is (0, 6)
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how does the graph of $f(x) = \\sqrt3{x}$ change when $f(x)$ is replace…
The graph is reflected over the \( y \)-axis and stretches horizontally. (The first option: The graph is reflected over the \( y \)-axis and stretches horizontally)
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how does the graph of $f(x) = \\sqrt3{x}$ change when $f(x)$ is replace…
A. The graph is reflected across the x - axis and has been compressed vertically
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the graph of g(x) is the result of translating the graph of f(x) = 3^x …
\( g(x) = 3^{x - 6} \) (the third option: \( g(x) = 3^{x - 6} \))
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how does the graph of $f(x) = \\sqrt3{x}$ change when $f(x)$ is replace…
The graph vertically stretches by a scale factor \( a \). (Corresponding option: The graph vertically stretches by a scale factor \( a \).)
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how does the graph of $f(x) = \\sqrt3{x}$ change when $f(x)$ is replace…
B. The graph shifts left.
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which equation represents an exponential function with an initial value…
\( f(x) = 500(2)^x \)
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how does the graph of $f(x) = \\sqrt3{x}$ change when $f(x)$ is replace…
The graph shifts up.
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the function $f(x) = 2 \\cdot 5^x$ can be used to represent the curve t…
5
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problem 3: find the slope of the graphed line slope: (6,7) (4,1)
3
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in 1990, the rate of change of the world population was approximately 0…
A. \( P = 5.3 + 0.09125t \)
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cubic & cube root functions cubic & cube root functions unit test back …
4
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the function $f(x)$ is defined as $f(x) = \\frac{1}{3}(6)^x$. which tab…
The table with blue header (the fourth table, bottom - left) where for \( x=-2, -1, 0, 1, 2 \), \( g(x) \) is the negative of \( f(x) \).
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exponential functions 27) jane decided to purchase one lottery ticket. …
\( V(t) = 45000(0.88)^t \)
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Question was provided via image upload.
The graph represents a secant - type function (e.g., \(y = A\sec(x)\) for some non - zero real number \(A\)), and the sub - field of Mathematics (specifically Calculus or Trigonom…
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what is the effect on the graph of $f(x) = x^3$ when $f(x)$ is replaced…
a reflection about the \( y \)-axis
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mathematics 1a - g cr sem a aguirre exponential functions which is the …
The Middle Graph (top - middle graph)
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given the function $f(x) = x^3$, which of the following functions will …
\( g(x)=-\frac{7}{2}f(x) \) (the fourth option)
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26) which of the following graphs is a function of x? select all that a…
b. The graph, c. The graph, e. The graph
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the function $f(x) = x^3$ is stretched vertically, and the resulting fu…
1.03 (the option with value 1.03)
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given the function $f(x) = (x + 8)^3$, which of the following is the po…
B. (-5, 0) (assuming the options are labeled as A. (0, -5), B. (-5, 0), C. (0, 5), D. (5, 0))
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the function $f(x) = x^3 - 7$ is the function $g(x) = x^3$ shifted vert…
7 (corresponding to the option with 7, assuming the last option is 7: "7")
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which of the following cubic functions has a point of inflection of (-4…
\(h(x)=-2(x + 4)^3+2\) (the third option)
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consider the function $f(x) = -(x - 2)^3 + 8$. what is the domain of th…
\( (-\infty, \infty) \) (the second option: \( (-\infty, \infty) \))
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topic: identifying the six trigonometric functions progress: the moveme…
sin X = $\frac{3}{\sqrt{34}}$, tan Y = $\frac{5}{3}$
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eves teacher asked her to graph the function $y = -cot(x) - 1$ by refle…
A. Yes, it matters. The graph of the function \(y = \cot(x)\) should be reflected about the x - axis before it is translated 1 unit down.
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how can you tell if a passage has a third person limited point of view?…
B. An outside narrator tells the thoughts and actions of only one character.
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find the slope of the line that passes through (3, 7) and (10, 10). sim…
\(\frac{3}{7}\)
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exponential functions - basic question an element with mass 330 grams d…
$75.7$
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select the correct answer. consider the formula for the average velocit…
A. \( d_2 = v(t_2 - t_1) + d_1 \)
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question 27 (mandatory) (1 point) ✓ saved determine which coordinate is…
c) (1, 7)
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the rate of change of a car is decreasing linearly by 10 miles per hour…
Yes, we can use a linear model. The slope is -10, and the y - intercept is 50.
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cubic & cube root functions unit online practice complete this assessme…
A. The graph is reflected over the \( y \)-axis and stretches horizontally.
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cubic & cube root functions unit online practice complete this assessme…
The graph is reflected across the \( x \)-axis and has been stretched vertically. (The option: The graph is reflected across the \( x \)-axis and has been stretched vertically)
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cubic & cube root functions unit online practice complete this assessme…
The graph does not shift left or right.
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cubic & cube root functions unit online practice complete this assessme…
The graph does not shift left or right.
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lesson 12 root functions cubic & cube root functions review f(x) + 5 f(…
The range remains the same
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cubic & cube root functions unit online f complete this assessment to r…
\( (-\infty, \infty) \) (the option with \( (-\infty, \infty) \))
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what function is graphed below? (image of a graph with x-axis labeled w…
The function graphed is \(y = \frac{\cos x}{x}\) (or a similar rational - trigonometric function, but the most probable is \(y=\frac{\cos x}{x}\))
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where does the graph of the function $y = \\tan(x)$ have asymptotes? - …
A. at the values of \(x\) where \(\cos(x) = 0\)
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cubic & cube root functions unit online practice complete this assessme…
\( y \) approaches negative infinity (the option: \( y \) approaches negative infinity)
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suppose the graph of the parent function $y = \\cot(x)$ is vertically c…
\( 0 < a < 1 \) (corresponding to the option "0 < a < 1")
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table of x and y values x | f(x) -64 | -4 -27 | -3 -8 | -2 -1 | -1 0 | …
\( \boldsymbol{f(x) = \sqrt[3]{x}} \) (the fourth option: \( f(x)=\sqrt[3]{x} \))
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decreasing. if necessary, fill in the answer box to complete your choic…
A. The function is decreasing on the interval(s) \((4, 6)\)
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prénom : leopold gr.:08 nom : dupuis - demers évaluation - module 7 et …
c. \(f(x)=2(3)^{x}-9\)
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cubic & cube root functions unit online practice complete this assessme…
D. a reflection about the \( y \)-axis (Note: Assuming the last option is labeled as D; if original options have labels like the first option as A, adjust to the correct label wit…
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unit: functions progress: the movement of the progress bar may be uneve…
All real numbers except \( -3 \) (the option corresponding to this, e.g., if the last option is "All real numbers except \( -3 \)", then the answer is that option. Assuming the la…
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cubic & cube root functions unit online practice complete this assessme…
\( h(x)=-(7(x - 1))^{3}+2 \) (corresponding to the option \( h(x)=-(7(x - 1))^{3}+2 \))
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unit: functions progress: the movement of the progress bar may be uneve…
B. \( x \geq 4 \) or \( x \leq -4 \)
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cubic & cube root functions unit online practice complete this assessme…
\(\frac{1}{3}\) (corresponding to the option with \(\frac{1}{3}\))
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find any critical numbers for f and then use the second derivative test…
A. The critical number(s) is/are \( x = 0,\frac{1}{6} \)
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divide. \\(\\frac{-3 + 5i}{5 + 2i}\\) write your answer as a complex nu…
\(\frac{-5}{29}+\frac{31}{29}i\)
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cubic & cube root functions unit online practice complete this assessme…
\( h(x)=(x - 1)^3 \) (the last option, \( h(x)=(x - 1)^3 \))
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cubic & cube root functions unit online practice complete this assessme…
\( h(x)=x^{3}+9 \) (the second option: \( h(x)=x^{3}+9 \))
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cubic & cube root functions unit online pr complete this assessment to …
\( (-\infty,\infty) \) (the last option)
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question 23 (mandatory) (1 point) saved the cost of running a carwash i…
c) 5 cars/h
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cubic & cube root functions unit online practice complete this assessme…
\( \boldsymbol{(-7, -11)} \) (corresponding to the option: \( \boldsymbol{(-7, -11)} \))
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suppose that the function graphed below is f(x), the derivative of f(x)…
B. The function \( f(x) \) has a relative minimum at \( x = 1 \) and has a relative maximum at \( x=-1 \). (Round to the nearest integer as needed. Use a comma to separate answers…
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cubic & cube root functions unit online practice complete this assessme…
\((-7, - 3)\) (corresponding to the option: \((-7,-3)\))
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cubic & cube root functions as inverses quick check if a function is tr…
A. The inverse of the given function will be translated 6 units up.
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texascollegebridge study paths tx math bridge - stage 2 unit test: func…
\( f(x - 3)=6x - 16 \) (corresponding to the option " \( f(x - 3)=6x - 16 \)")
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cubic & cube root functions as inverses quick check the function $f(x) …
\( f^{-1}(x) = \sqrt[3]{x - 4} \) (the second option: \( f^{-1}(x)=\sqrt[3]{x - 4} \))
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let x be the number of $1 decreases let r be revenue r = (500 + 20x)(75…
If we are solving \(22500 - 500x + 400x-20x^{2}=0\) (assuming it's set to zero for a break - even or solution), the positive solution for \(x\) is approximately \(31.14\) (the exa…
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what is the inverse of $f(x) = \\sqrt3{x + 4}$? (1 point) \\( \\circ \\…
\( f^{-1}(x)=x^3 - 4 \) (the first option: \( f^{-1}(x)=x^3 - 4 \))
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cubic & cube root functions as inverses quick check establish which of …
\( f^{-1}(x) = \sqrt[3]{x - 3} \) (the third option, e.g., if options are labeled as 1,2,3,4: 3. \( f^{-1}(x)=\sqrt[3]{x - 3} \))
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the function $g(x) = x^3 - 4$ and its inverse are even functions. optio…
Option #2: False
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true or false? the function $k(x) = \\frac{1}{3}x^3$ and the inverse $k…
Option #1 True
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add. (6 - 5i) + (-1 + 4i) write your answer as a complex number in stan…
\(5 - i\)