Essential Calculus
2nd Edition
ISBN: 9781285209067
Author: Stewart
Publisher: Cengage
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Referring to f (x)= 1/x which function shifts down 6 units?
How does the graph of g(x)=4^x+5 compare to the function represented by the table at the right?
X|-2,-1,0,1,2
Y|17/16,5/4,2,5,17
What equation represents the transformed function g (x) that is formed by shifting the graphed of  f(x) = |x| right 2 units and up 5 units.

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- Suppose that the function y=f(x) is increasing on the interval (2,4). Over what interval is the graph of y=f(x-6) increasing? a. (8,10) b. (12, 24) c. (-4, -2)arrow_forward10 Find the composition of the function.arrow_forwardIdentify the point of diminishing returns for the input-output function. R is the revenue and x is the amount spent on advertising. Use a graphing utility to verify your results. R = − 2 5 (x3 − 4x − 4), 0 ≤ x ≤ 3arrow_forward
- Attached is the graph of the function g(x) = |x| What would the graph of kg(x) when -4 < k < -1 look like?arrow_forwardThe diagram shows the graph of the function f(x)=Asin(Bx). How do I find the values of a and b?arrow_forward7. compare the function with the parent function without graphing. y=x-3 A. translated 3 units to the left B. translated 3 units to the right C. translated 3 units up D. translated 3 units downarrow_forward
- Let R = {(n, −n) | n ∈ Z and n ≤ 0} ∪ {(n, n + 1) | n ∈ N}. Is R a function? Justify your answer.arrow_forwardDescribe verbally the transformation(s) that can be used to obtain the graph of g from the graph of f. g(x)=e^x−6; f(x)=e^xarrow_forwardFind the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = −(1/4)x3 + 3x2 + 9, 0 ≤ x ≤ 6 (x, R) =arrow_forward
- Which of the following statements about the function y=a(k(x-d))x+c is not true? The value of a represents a vertical stretch/compression. The value of d represents a horizontal translation. The value of k represents the maximum or minimum of the function. The value of c represents a vertical translation.arrow_forwardFind the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = − 1/4x3 + 3x2 + 8, 0 ≤ x ≤ 8 (x, R) =arrow_forwardFind the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. R = − 1/4x3 + 3x2 + 8, 0 ≤ x ≤ 8 (X,R)=arrow_forward
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