Q: Which of the following describes the end behavior of $$f(x) = -2(x-3)^2$ - 5$$?

$$f(x) \to -\infty as$$ $$x \to \pm\infty$$

Question 1

What is the domain of the function $$f(x) = \frac{3}{x-3.4}$$?

Accepted Answer

$$(-\infty, 3.4) \cup (3.4, \infty)$$

Question 2

Given $$f(x) = x^2$ - 4$$, what is the simplified form of the difference quotient $$\frac{f(x+h) - f(x)}{h}$$?

Accepted Answer

$$2x + h$$

Question 3

Given the graph of a function $$f(x)$$, which of the following statements is true if the graph is symmetric with respect to the y-axis?

Accepted Answer

$$f(x) is an $$even function

Question 4

For the piecewise function $$f(x) = \begin{cases} 2x+5, & x \u003c 1 \ x^2$-3, & x \geq 1 \end{cases}$$, what is the value of $$f(1)$$?

Accepted Answer

$$-2$$

Question 5

What is the range of the function $$g(x) = 2|x| - 4$$?

Accepted Answer

$$[-4, \infty)$$

Question 6

Given the linear function $$g(x) = -2x - 3$$, what is the y-intercept?

Accepted Answer

$$-3$$

Question 7

A company’s total cost to produce $$x$$ plates is $$C(x) = 1.5x + 100. If $$each plate sells for $$3$$, how many plates must be sold to break even?

Accepted Answer

$$67$$

Question 8

Find the zeros of $$g(x) = x^2$ + 7x + 5$$ using the quadratic formula.

Accepted Answer

$$\frac{-7 \pm \sqrt{29}}{2}$$

Question 9

For the quadratic function $$f(x) = -2(x-3)^2$ - 5$$, what are the coordinates of the vertex?

Accepted Answer

$$(3, -5)$$

Question 10

A ball is thrown vertically upward with an initial velocity of $$80 ft/sec. $$The height (in feet) after $$t$$ seconds is $$h(t) = -16t^2$ + 80t. $$For what time $$t is $$the ball at its maximum height?

Accepted Answer

$$2.5$$ seconds

Question 11

Which of the following describes the end behavior of $$f(x) = -2(x-3)^2$ - 5$$?

Accepted Answer

$$f(x) 	o -\infty as$$ $$x 	o \pm\infty$$

Question 12

If $$f(x) is $$decreasing on the interval $$(-\infty, 3)$$ and increasing on $$(3, \infty)$$, what is $$x=3$$?

Accepted Answer

A local minimum

Question 13

Given $$f(x) = x^2$ - 4$$, what are the x-intercepts of the graph?

Accepted Answer

$$x = -2, 2$$

Question 14

Which transformation is applied to the graph of $$y = x^2$ to obtain y = 2$$|x| - 4$$?

Accepted Answer

Vertical stretch by 2 and downward shift by 4

Question 15

If $$f(x) = x^2$ - 4$$ and $$g(x) = x + 2$$, what is $$(f \circ g)(x)$$?

Accepted Answer

$$(x+2)^2 - 4$

Precalculus Study Guide: Functions, Graphs, and Applications

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