微積分
極限、導數、最優化與函數性質。
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kuta software - infinite precalculus name exponential equations not req…
1) $n=1$ 2) $n=\frac{4}{5}$ 3) $r=0$ 4) $k=-2$ 5) $x=\frac{1}{4}$ 6) $m=\frac{2}{3}$ 7) $x=\frac{4}{3}$ 8) $r=-1$ 9) $x=\frac{3}{10}$ 10) $n=-2$
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which is the range of the function? a. the set of all real numbers grea…
D. the set of all real numbers greater than or equal to -3
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2.9 rate of change with equations - day 3 find the average rate of chan…
1. $-3$ 2. $3$ 3. $-2$ 4. $-1$
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what is the value of x that makes both equations true? x = \\boxed{}
\( 3 \)
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en the quadratic: ( y = x^2 - 5x + 13 ), find the average rate of chang…
2 --- Note: The last two quadratic problems have incomplete interval information $[\quad]$. Please provide the full interval for $y=x^2+x-3$ and $y=x^2-7x+12$ to solve for their a…
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which equation graphs a line that passes through the point $(-7,5)$ and…
$y=5$ --- ### Second Question
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the table shows some ordered pairs that are on a line. the slope of the…
$8$
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evaluate. $68 - 13(7 - 5)^2 + 2^3$
24
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question 1-6 schenck v. united states, 249 u.s. 47 facts of the case du…
by arguing that individual rights may be limited when they pose a threat to national security
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which linear inequality is represented by the graph? option 1: $y > \\f…
\( y\geq\frac{1}{3}x - 4\) (the first option: \( y\geq\frac{1}{3}x - 4\))
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9. how did civil liberties advocates and some lawmakers respond to the …
9. They expressed alarm and concern 10. It could impact constitutional protections for everyone
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1) choose the best answer: you can determine if the inverse of a polyno…
1. vertical 2. horizontal 3. $y=x$ 4. $y=\frac{1}{2}x - \frac{3}{2}$
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unit 2 modeling polynomial functions name practice 1 topic 1 possible n…
### Problem 1: \( f(x) = x^3 - 2x^2 + 2 \) #### Step 1: Possible Real Zeros (Descartes' Rule of Signs) - For \( f(x) \): Number of sign changes in \( f(x) \): \( +x^3 - 2x^2 + 2 \…
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6) determine the inverse of the function by interchanging the variables…
1. $\boldsymbol{y=\pm\frac{\sqrt{x}}{2}}$ 2. $\boldsymbol{y=\pm\sqrt{x+1}}$ 3. $\boldsymbol{No}$
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9) apply the horizontal or vertical line test to determine if the inver…
1. Yes 2. $-5 + 2i$ 3. $-12i$
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question 1-1 schenck v. united states, 249 u.s. 47 facts of the case du…
○ It implies context matters in determining legality.
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6. $f(x) = \\frac{x - 5}{3x^2 - 16x + 5}$
If the question was about the domain: The domain is all real numbers except \( x=\frac{1}{3} \) and \( x = 5 \) (or in interval notation \( (-\infty,\frac{1}{3})\cup(\frac{1}{3},5…
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which of the following is not a factor of production? * land labor capi…
D. Water ### Second Question:
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7.6: graphing rational functions practic kuta software llc. all rights …
- VA: \( x = 3 \) - HA: \( y = 0 \) - x - int: None - Domain: \( (-\infty,3)\cup(3,\infty) \) ### Problem 3: \( f(x)=\frac{1}{-x + 4}=\frac{1}{-(x - 4)}=\frac{1}{x - 4}\times(- 1)…
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consider the graph of the polynomial f(x) given below. considera la grá…
A. -50
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consider the polynomial function: considera la siguiente función polinó…
B. As $x \to -\infty$, $f(x) \to \infty$, and as $x \to \infty$, $f(x) \to -\infty$
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the graph of a polynomial function f(x) is shown in the xy - coordinate…
fourth degree polynomial (cuarto grado)
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if a function is increasing over its domain, what is happening? as the …
As the x-values get larger, the y-values get larger.
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which equation is represented by the graph? options: - $-3x - y = 6$ - …
$-3x - y = 6$
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which key features do these representations of linear functions have in…
- Both functions are undoubtedly continuous - Increasing over the domain
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who is correct? sallie 16 ÷ 2 × 8 = 64 brian 16 ÷ 2 × 8 = 1 options: sa…
Sallie
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which comes first in the order of operations, addition or subtraction? …
C. Whichever is first left to right
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(7×5)+(6×4) 48 69 59 72
59
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8 + 2·7 22 70 20 42
22
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in this equation, what would you do first? 8 - 4 + 3
\( 8 - 4 \) (So the first thing to do is \( 8 - 4 \))
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solve the equation 8 - 4 + 3 =? options: 1, 7, 0, 10
7
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(4 × 3) + 16 ÷ 2 =? 14 15 20 3
20
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which statement is true? the function is decreasing over the domain bec…
A. The function is decreasing over the domain because the y-values get smaller as the x-values get larger.
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(\frac{3}{5} \times 10 = square \frac{square}{square})
$6\frac{0}{1}$ (or simply 6, but following the mixed number format in the problem, it's $6\frac{0}{1}$)
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match polynomials and graphs ( h(x) = -x^3 - 15x^2 - 75x - 125 ) ( k(x)…
To solve the problem of matching the polynomial \( h(x) = -x^3 - 15x^2 - 75x - 125 \) to its graph, we analyze the polynomial: ### Step 1: Factor the Polynomial First, we factor \…
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for problems 14-15: write the square root function given the transforma…
\( y = \frac{2}{7}\sqrt{x - 1} + 3 \) ### Problem 15:
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for 1-12, find each sum. 1. $\begin{array}{r}2\frac{10}{12}\\+3\frac{3}…
$6\frac{1}{12}$ ### Problem 2:
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5. find the inverse of the functions below $f(x)=\\frac{1}{4}\\sqrt{x -…
The inverse function is \( f^{-1}(x) = 16(x + 12)^2 + 2 \) (for \( x \geq -12 \))
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solve the system of equations by graphing: $y = \\frac{1}{2}x + 1$ and …
D. (2, 2) (assuming the options are labeled A to D, with D being (2,2))
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expanding logarithmic expressions expand the expression. \\(\\ln \\frac…
$\ln 2 + \ln a - \ln b$ (corresponding to the option "ln 2 + ln a - ln b")
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which expressions are equivalent to \\(\\ln x + 2\\ln 5 + \\ln 1\\)? ch…
A. \(\ln 25x+\ln 1\) D. \(\ln 25x\) (assuming the fourth option is labeled D, if the original options are labeled as first: A, second: B, third: C, fourth: D)
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a town predicts that its population will double in \\(\\frac{e^{\\ln 10…
The population of the town will double in 5 years.
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considering only the domain shown on the graph, over which interval is …
\( 1 < x \leq 2.5 \)
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over which interval does the growth rate of the exponential function co…
\( x = 1.79 \) to \( x = 3 \)
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which statement best describes the growth rates of the functions? the e…
The exponential function grows faster than the quadratic function over two intervals; \( 2 < x \leq 4 \). (Assuming the "two intervals" is a typo, and it refers to the single inte…
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from $x = 0$ to $x = 2$, which of the following best describes the grow…
\( y = 5x \) grows slower than \( y = 5^x \).
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from $x = 0$ to $x = 2$, which of the following best describes the grow…
\( y = 5x \) grows slower than \( y = 5^x \).
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over which interval does the growth rate of the exponential function ex…
\(x > 2\)
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what is the minimum y - value after which the exponential function will…
\( y = 4 \)
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for which pair of functions is the exponential consistently growing at …
The pair of functions in the third graph (assuming the third one from the top) where the exponential function is consistently above the quadratic function over \(0 \leq x \leq 5\)…
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aring exponential, linear, and quadratic growth the graph shows a linea…
\(y = 4\)
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what is the equation of this linear function? y = -\\frac{?}{\\square}x…
$y = -\frac{1}{2}x + 1$
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what is the slope of this line? simplify your answer completely. slope …
Slope $= -\frac{1}{1}$ (or simplified to $-1$, formatted as requested: $-\frac{1}{1}$)
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section 3.1 homework 13: section 3.1 score: 67.5/260 answered: 7/26 que…
\( f(-3)=-3 \)
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solve $f(x) = 18$ for the function $f(x) = 5x - 7$. then, find an expre…
\( x = 5 \) \( f^{-1}(x) = \frac{x + 7}{5} \)
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20. in a restricted parking zone, vehicles can park for no more than 2 …
20. d. $t \leq 2$ 21. b. Variable term 22. b. $D = 50 - (0.20 \times 50)$
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9. which of the following rights may be limited in an authoritarian sys…
9. - Freedom of speech - The right to vote in free elections - The right to own property - Freedom of the press 10. Mexico is a democratic republic where citizens elect leaders, h…
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7. what has weakened democracy in nicaragua and el salvador? free and f…
7. Presidents restricting opposition and limiting press freedom 8. False
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if ( f(x) ) and ( g(x) ) are inverse functions of each other, which of …
The graph representing \( f(g(x)) \) is the one with the line \( y = x \) (slope 1, passing through the origin). Typically, this is a line with a 45° angle, passing through points…
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the function ( f(x) ) is shown. | ( x ) | ( -6 ) | ( -3 ) | ( 2 ) | ( 5…
2
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46 + 24 = 70 which expressions also have a value of 70? move each card …
## Value of 70: $46 + 4 + 20$, $46 + 4 + 10 + 10$ ## Not a Value of 70: $46 + 4 + 10$
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7. $y = 2cos(x) - 1$
If graphing, the graph is a cosine - shaped curve with amplitude 2, period \( 2\pi \), shifted down by 1 unit. Key points on \([-2\pi, 2\pi]\) are \((-2\pi, 1)\), \((-\frac{3\pi}{…
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sara played target 80. starting with 57, she made the equatic 57 + 3 + …
23
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problems 5 – 8, use transformations to graph eac 5. $y = 2sin x$
To graph \( y = 2\sin x \) using transformations: 1. Start with the parent function \( y=\sin x \) (key points: \( (0,0) \), \( (\frac{\pi}{2},1) \), \( (\pi,0) \), \( (\frac{3\pi…
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add. (\frac{3}{10} + \frac{3}{4}) write your answer as a fraction in si…
$\frac{21}{20}$
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1. $y = 5sin(pi x)$
- Amplitude: \( 5 \) - Period: \( 2 \)
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what is the slope of this line? simplify your answer and write it as a …
\(-3\)
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what is the slope of this line? simplify your answer and write it as a …
\(-\frac{5}{3}\)
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what is the slope of this line? simplify your answer and write it as a …
\( -\frac{5}{3} \)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{4}{3}\)
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what is the slope of this line? simplify your answer and write it as a …
\(\frac{1}{2}\)
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what is the slope of this line? simplify your answer and write it as a …
\(-\frac{2}{5}\)
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use the graph to answer the question. the graph is a transformation of …
$\boldsymbol{f(x)=x^3}$
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use the graph to answer the question. which correctly describes the poi…
A. There is a jump discontinuity at $x = -3$.
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use the graph to answer the question. find the x- and y-intercepts of t…
x-intercept: (0,0) y-intercept: (0,0)
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use the graph to answer the question. find the asymptotes of the functi…
$x=0$, $y=0$
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which of the following function types exhibit the end behavior $f(x) \\…
power, $y=x^n$; $n$ is even and greater than zero absolute value, $y=|x|$
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use the graph to answer the question. which of the following functions …
reciprocal; $y=\frac{1}{x}$
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question 4 evaluate the integral below by using what we know about the …
$4$
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use your calculator to evaluate the integral below.\\(\\int_{2.4}^{9.3}…
$\int_{2.4}^{0.3} \frac{x+7}{x^3+8} dx = -0.927$ $\int_{5}^{6} \frac{10x-10}{x^2 - x - 6} dx = 1.609$
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question 2 if ( y(u) = int_{0}^{u^6} sqrt{11 + x^3} dx ) then ( y(u) = …
$6u^5\sqrt{11+u^{18}}$
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question 2 if $p(v) = \\int_{0}^{v^6} \\sqrt{5 + x^7} dx$ then $p(v) = …
$6v^5\sqrt{5+v^{42}}$ ---
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if $f(x)=\\int_{x}^{x^{4}} t^{2}dt$ then $f(x)=$
$4x^{11}-x^2$
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question 4 if $f(x)=\\int_{x}^{x^3} t^2 dt$ then $f(x) = $ question hel…
$3x^8 - x^2$
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19 if $f(x) = \\int_{x}^{x^4} t^3 dt$ then $f(x) = $ question help: mes…
For Question 1: $3x^{11}-x^3$ For Question 2: $\frac{343v^2}{49v^2+16}-\frac{4v^2}{v^2+1}$
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current skill multiply: $7 \\times \\frac{3}{5}$ provide an answer as a…
\(4\frac{1}{5}\) (or \(\frac{21}{5}\) if proper fraction is preferred, but since 21/5 is an improper fraction and the problem allows mixed number, \(4\frac{1}{5}\) is a simplified…
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if $f(x) = \\int_{3}^{x^2} t^4 dt$ then $f(x) = $ question help: video …
1. $f'(x)=2x^9$ 2. $f'(u)=3u^2\sqrt{8+u^{15}}$ 3. $y'(x)=\frac{\cos e^{9x}}{e^x}$
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multiply: $3 \\times \\frac{1}{10}$ provide an answer as a simplified f…
\(\frac{3}{10}\)
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¿cuál es la verdadera solución a la ecuación? \\ln e^{\\ln x} + \\ln e^…
$x = 4$
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el rango de qué función es $(2, \\infty)$? $y = 5^x + 2$ $y = 2^x$ $y =…
$y = 5^x + 2$
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¿cuál es el dominio de? $y = \\log_{4}\\left(x + 3\ ight)$? todos los n…
todos los números reales mayores que $-3$
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¿cuál es el valor de? $\\log_{625} 5$?\ $\\frac{1}{4}$\ $4$\ $-\\frac{1…
$\frac{1}{4}$
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complete the ordered pairs so that each is a solution to the equation. …
The completed table is: | $x$ | $y$ | |-----|-----| | -2 | 12 | | 0 | 2 | | 2 | -8 | The ordered pairs are $(-2, 12)$, $(0, 2)$, $(2, -8)$. To graph, plot these points and draw a …
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vamos a la escuela unlimited attempts left late due january 22nd 11:59 …
To solve this, we need to conjugate the verb "ir" (to go) in the present tense for different subjects. The present tense conjugations of "ir" are: yo - voy, tú - vas, él/ella/uste…
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¿cuál es el rango de la función? $y = e^{4x}$? $y > 0$ $y < 4$ $y < 0$ …
$y > 0$
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calculating differences of complex numbers in po consider the numbers $…
For the first blank (in \( z - w = 1-\square i \)): \( 1 \) For the second and third blanks (in \( z - w=\sqrt{2}(\cos\square^{\circ}+i\sin\square^{\circ}) \)): \( 315 \), \( 315 …
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¿cuál es el rango de la función? $y = 2e^x - 1$? todos los números real…
todos los números reales mayores que $-1$
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(b) the graph of $y = x^2$ is shown. translate it to get the graph of $…
Translate the graph of $y=x^2$ 2 units to the right. The vertex of the new graph $y=(x-2)^2$ will be at $(2,0)$, and the parabola maintains the same shape as the original.
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find the domain of the function.\\( f(x) = \\frac{x}{x - 5} \\)\ select…
D. \( (-\infty, 5) \cup (5, \infty) \)
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find the domain of the function.\\(f(x) = 5x^2 + 3x - 1\\)\ select one:…
B. \((-\infty, \infty)\)