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Algebra 2 Functions Review
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Algebra 2 Functions Review
📚 Part 1: Function Types (Questions 1-5)
1. What type of function is f(x) = 3x + 7?
Linear
Quadratic
Exponential
Absolute value
2. What type of function is f(x) = x² - 4?
Linear
Quadratic
Exponential
Absolute value
3. What type of function is f(x) = 2ˣ?
Linear
Quadratic
Exponential
Absolute value
4. What type of function is f(x) = |x - 2|?
Linear
Quadratic
Exponential
Absolute value
5. What type of function is f(x) = -2x + 5?
Linear
Quadratic
Exponential
Absolute value
🎯 Part 2: Inequalities & Rate of Change (Questions 6-10)
6. Which point is a solution to y > 2x + 1?
(0, 0)
(1, 4)
(2, 5)
(-1, -2)
7. Which point is a solution to y ≤ x - 3?
(0, 0)
(4, 1)
(2, 2)
(1, 1)
8. Find the average rate of change for f(x) = 3x from x = 1 to x = 3.
2
3
6
9
9. Find the average rate of change for f(x) = x² from x = 2 to x = 4.
4
6
8
12
10. Which point is a solution to y < -x + 2?
(0, 3)
(1, 0)
(3, 0)
(-1, 3)
🔄 Part 3: Inverses & Transformations (Questions 11-15)
11. What is the inverse of f(x) = 2x + 4?
f⁻¹(x) = (x - 4)/2
f⁻¹(x) = (x + 4)/2
f⁻¹(x) = 2x - 4
f⁻¹(x) = x/2 + 4
12. What is the inverse of f(x) = x - 5?
f⁻¹(x) = x + 5
f⁻¹(x) = x - 5
f⁻¹(x) = 5 - x
f⁻¹(x) = -x + 5
13. If point (3, 2) is reflected over the x-axis, what is the new coordinate?
(3, -2)
(-3, 2)
(-3, -2)
(2, 3)
14. If point (4, 1) is translated 2 units left and 3 units up, what is the new coordinate?
(2, 4)
(6, 4)
(2, -2)
(6, -2)
15. If point (-1, 3) is reflected over the y-axis, what is the new coordinate?
(1, 3)
(-1, -3)
(1, -3)
(3, -1)
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