NBT Mathematics Functions and Calculus 2

Question 1

What is the maximum value of f(x) = −2x² + 8x − 3?

Accepted Answer

5

Answer

2

Answer

8

Answer

−3

Question 2

For f(x) = x³ − 3x, the x-values of the turning points are:

Accepted Answer

x = ±1

Answer

x = ±3

Answer

x = 0 and x = 3

Answer

x = ±√3

Question 3

Which of the following equals ∫4x³ dx?

Accepted Answer

x⁴ + C

Answer

12x² + C

Answer

4x⁴ + C

Answer

x⁴/4 + C

Question 4

The asymptotes of f(x) = 2/(x − 3) + 1 are:

Accepted Answer

x = 3 and y = 1

Answer

x = −3 and y = 1

Answer

x = 3 and y = −1

Answer

x = 1 and y = 3

Question 5

The average rate of change of f(x) = x² from x = 1 to x = 3 is:

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 6

If f(x) = log₂(x), then f(8) equals:

Accepted Answer

3

Answer

2

Answer

4

Answer

16

Question 7

The transformation that maps f(x) to f(x + 2) − 3 is:

Accepted Answer

Shift left 2 and down 3

Answer

Shift right 2 and down 3

Answer

Shift left 2 and up 3

Answer

Shift right 2 and up 3