ALG 2 HELP?

Question 1 (Multiple Choice Worth 2 points)

(04.07)

Given the function f(x) = x3 + x2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?

f(x − 1) = x3 − 2x2 − x + 3

f(x + 1) = x3 + 4x2 + 3x + 1

f(x) − 1 = x3 + x2 − 2x

f(x) + 1 = x3 + x2 − 2x + 2

Question 2 (Multiple Choice Worth 2 points)

(04.07)

Calculate the average rate of change for the function f(x) = x4 + 3x3 − 5x2 + 2x − 2, from x = −1 to x = 1.

−1

1

−5

5

Question 3 (Multiple Choice Worth 2 points)

(04.07)

Without using technology, describe the end behavior of f(x) = 3x32 + 8x2 − 22x + 43.

Down on the left, down on the right

Down on the left, up on the right

Up on the left, down on the right

Up on the left, up on the right

Question 4 (Multiple Choice Worth 2 points)

(04.07)

Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the graph?

The degree of the first term

The degree of the last term

The coefficient of the first term

The coefficient of the last term

Question 5 (Multiple Choice Worth 2 points)

(04.07)

Graph the function f(x) = − x4 + 7x3 − 9x2 − 3x + 10 using graphing technology and identify for which values of x the graph is decreasing.

From x = −2 to x = −1

From x = 0 to x = 1

From x = 1 to x = 2

From x = 2 to x = 4