MoGEA Test Functions, Patterns, and Algebraic Relationships 2

Question 1

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

Accepted Answer

19

Answer

13

Answer

25

Answer

49

Question 2

What is the inverse function of f(x) = 3x - 6?

Accepted Answer

f⁻¹(x) = (x + 6) / 3

Answer

f⁻¹(x) = (x - 6) / 3

Answer

f⁻¹(x) = 3x + 6

Answer

f⁻¹(x) = x / 3 - 6

Question 3

Which statement best describes the behavior of f(x) = 2ˣ as x increases?

Accepted Answer

The function increases at an increasing rate

Answer

The function decreases at a constant rate

Answer

The function increases at a constant rate

Answer

The function decreases at a decreasing rate

Question 4

What are the x-intercepts of f(x) = x² - 5x + 6?

Accepted Answer

x = 2 and x = 3

Answer

x = -2 and x = -3

Answer

x = 1 and x = 6

Answer

x = -1 and x = 6

Question 5

A table shows inputs 1, 2, 3, 4 with outputs 5, 8, 11, 14. Which rule describes this pattern?

Accepted Answer

y = 3x + 2

Answer

y = 2x + 3

Answer

y = 4x + 1

Answer

y = 5x

Question 6

A savings account starts with $100 and earns $15 per week. Which function represents the total amount after w weeks?

Accepted Answer

A(w) = 15w + 100

Answer

A(w) = 100 + 15

Answer

A(w) = 100w

Answer

A(w) = 115w

Question 7

Which statement is true about f(x) = 2x + 3 and g(x) = 2x - 1?

Accepted Answer

They have the same slope

Answer

They have the same y-intercept

Answer

They intersect at x = 0

Answer

They have the same x-intercept