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

First evaluate g(3) = 9, then f(9) = 2(9) + 1 = 19.

Question 2

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

Accepted Answer

f⁻¹(x) = (x + 6) / 3

Answer

Swap x and y: x = 3y - 6, then solve for y: y = (x + 6) / 3.

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

Exponential growth functions like 2ˣ increase at an accelerating (increasing) rate, not a constant one.

Question 4

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

Accepted Answer

x = 2 and x = 3

Answer

Factoring gives (x - 2)(x - 3) = 0, so x = 2 and x = 3.

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

Testing y = 3x + 2: 3(1)+2=5, 3(2)+2=8, 3(3)+2=11, 3(4)+2=14 — all match.

MoGEA Test Practice Test