Rise Placement Test Functions and Quadratic Equations Questions and Answers

Question 1

Given the function f(x) = 2x² - 3x + 4, what is the value of f(-3)?

Accepted Answer

31

Answer

7

Answer

-5

Answer

13

Question 2

What is the domain of the function g(x) = √(x - 7)?

Accepted Answer

x ≥ 7

Answer

All real numbers

Answer

x > 7

Answer

x ≤ 7

Question 3

A rocket is launched into the air, and its height in feet at time t (in seconds) is given by the function h(t) = -16t² + 96t. What is the maximum height the rocket reaches?

Accepted Answer

144 feet

Answer

96 feet

Answer

3 feet

Answer

160 feet

Question 4

Which of the following are the solutions to the quadratic equation 2x² - 5x - 4 = 0?

Accepted Answer

x = (5 ± √57) / 4

Answer

x = (-5 ± √57) / 4

Answer

x = (5 ± √7) / 4

Answer

x = (-5 ± √7) / 2

Question 5

If f(x) = 3x - 2 and g(x) = x² + 1, what is the composite function (f ∘ g)(x), which is equivalent to f(g(x))?

Accepted Answer

3x² - 1

Answer

9x² - 12x + 5

Answer

3x³ - 2x² + 3x - 2

Answer

3x² + 1

Question 6

What are the coordinates of the vertex of the parabola defined by the equation y = 2x² + 12x + 10?

Accepted Answer

(-3, -8)

Answer

(3, 64)

Answer

(-6, 10)

Answer

(3, -10)