NBT Mathematics Functions and Calculus 3

Question 1

What is the derivative of f(x) = sin(x)?

Accepted Answer

cos(x)

Answer

−cos(x)

Answer

−sin(x)

Answer

tan(x)

Question 2

The area under f(x) = 2x from x = 0 to x = 3 is:

Accepted Answer

9

Answer

6

Answer

18

Answer

3

Question 3

If f(x) = eˣ, then f′(x) equals:

Accepted Answer

eˣ

Answer

x · eˣ⁻¹

Answer

e

Answer

ln(x)

Question 4

A function f(x) is concave down on an interval when:

Accepted Answer

f″(x) < 0

Answer

f′(x) < 0

Answer

f″(x) > 0

Answer

f(x) < 0

Question 5

The y-intercept of f(x) = 3x² − 5x + 2 is:

Accepted Answer

2

Answer

−5

Answer

3

Answer

0

Question 6

The period of f(x) = sin(2x) is:

Accepted Answer

π

Answer

2π

Answer

π/2

Answer

4π

Question 7

If f′(c) = 0 and f″(c) > 0, the point x = c is:

Accepted Answer

A local minimum

Answer

A local maximum

Answer

A point of inflection

Answer

An asymptote