Question 1

Which of the following functions is one-to-one?

Accepted Answer

$$f(x) = 2x + 3$$

Question 2

Given the quadratic function $$f(x) = (x - 2)^2$ + 5$$, what is the vertex $$(h, k) of $$the graph?

Accepted Answer

$$(2, 5)$$

Question 3

Which of the following expressions correctly applies the exponent rule $$a^m \cdot a^n = a$$^{m+n}$$?

Accepted Answer

$$x^3$$ \cdot $$x^4$$ = $$x^7$$

Question 4

A projectile is launched upward from ground level with an initial velocity of $$40 m/s. $$Using $$h(t) = -4.9t^2$ + 40t$$, at what time $$t$$ does it reach its maximum height?

Accepted Answer

$$t = 4.08$$	ext{ s}$

Question 5

Which of the following is the inverse function of $$f(x) = 3x - 7$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x - 7}{3}$$

Question 6

Solve the absolute value equation: $$|2x - 5| = 7$$

Accepted Answer

$$x = 6 or$$ $$x = -1$$

Question 7

Which of the following is the correct simplification of $$\frac{x^2$ - 9}{x - 3}$$?

Accepted Answer

$$x + 3$$

Question 8

If $$f(x) = x^2$ and g(x) = 2x + 1$, what is (f$$ \circ g)(x)$$?

Accepted Answer

$$(2x + 1)^2$

Question 9

Which of the following is the solution to the quadratic equation $$x^2 - 6x + 8 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 4$$

Question 10

Which of the following is the correct midpoint between the points $$(1, 2)$$ and $$(5, 6)$$?

Accepted Answer

$$(3, 4)$$

Question 11