NBT Mathematics Functions and Calculus

Question 1

What is the domain of f(x) = √(4 − x)?

Accepted Answer

x ≤ 4

Answer

x ≥ 4

Answer

x < 4

Answer

All real numbers

Question 2

What is the derivative of f(x) = 3x² − 2x + 5?

Accepted Answer

6x − 2

Answer

3x − 2

Answer

6x + 5

Answer

3x² − 2

Question 3

What is lim(x→2) [(x² − 4) / (x − 2)]?

Accepted Answer

4

Answer

2

Answer

0

Answer

Undefined

Question 4

If f(x) = 2x + 1 and g(x) = x², what is f(g(3))?

Accepted Answer

19

Answer

13

Answer

37

Answer

7

Question 5

The range of f(x) = −x² + 3 is:

Accepted Answer

y ≤ 3

Answer

y ≥ 3

Answer

y ≤ −3

Answer

All real numbers

Question 6

The gradient of the tangent to f(x) = x³ at x = 2 is:

Accepted Answer

12

Answer

8

Answer

6

Answer

3

Question 7

Which set of ordered pairs represents a function?

Accepted Answer

{(1,2),(2,3),(3,4)}

Answer

{(1,2),(1,3),(2,4)}

Answer

{(2,1),(2,2),(3,4)}

Answer

{(1,2),(3,2),(1,5)}