+42 Question 1:
Given the function f(x) = x^3 + x^2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?
A. f(x − 1) = x^3 − 2x^2 − x + 3
B. f(x + 1) = x^3 + 4x^2 + 3x + 1
C. f(x) − 1 = x^3 + x^2 − 2x
D. f(x) + 1 = x^3 + x^2 − 2x + 2
Question 2:
Calculate the average rate of change for the function f(x) = −x^4 + 4x^3 − 2x^2 + x + 1, from x = 0 to x = 1.
A. 0
B. 1
C. 2
D. 7
Question 3:
Without using technology, describe the end behavior of f(x) = 3x^32 + 8x^2 − 22x + 43.
A. Down on the left, down on the right
B. Down on the left, up on the right
C. Up on the left, down on the right
D. Up on the left, up on the right
Question 4
Given the function f(x) = −3x^3 + 9x^2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph?
A. The degree of the first term
B. The degree of the last term
C, The coefficient of the first term
D. The coefficient of the last term
Question 5
Graph the function f(x) = − x^4 + 7x^3 − 9x^2 − 3x + 10 using graphing technology and identify for which values of x the graph is decreasing.
A. From x = −2 to x = −1
B. From x = 0 to x = 1
C. From x = 1 to x = 2
D. From x = 2 to x = 4
