Question 1

Given the line $$8x - 17 = 6y + 7$$, what is the slope of the line?

Accepted Answer

Question 2

What is the $$y-$$intercept of the line $$8x - 17 = 6y + 7$$?

Accepted Answer

$$(0, 4)$$

Question 3

The endpoints of a diameter of a circle are $$(5,6)$$ and $$(-1,2). $$What is the equation of the circle?

Accepted Answer

$$(x-2)^2$$ + $$(y-4)^2 = 13$

Question 4

Given $$f(x) = 6 - 2|x-4|$$, what is the vertex of the graph of $$f(x)$$?

Accepted Answer

$$(4, 6)$$

Question 5

If $$f(x) = 3x - 2$$ and $$g(x) = x^2$ + x$$, what is $$(f \circ g)(2)$$?

Accepted Answer

$$16$$

Question 6

If $$f(x) = 3x - 2$$ and $$g(x) = x^2$ + x$$, what is $$(g \circ f)(2)$$?

Accepted Answer

$$20$$

Question 7

Solve for $$x$$: $$\log_3$(7-x) + \log_3$(2x+1) = 3.$$

Accepted Answer

$$x = 5/2$$

Question 8

What is the domain of $$f(x) = \frac{x^2$-9}{x-3}$$?

Accepted Answer

$$x 
eq 3$$

Question 9

What is the domain of $$f(x) = \frac{5x-11}{18-x}$$?

Accepted Answer

$$x 
eq 18$$

Question 10

Which of the following is the correct formula for the distance $$d$$ between points $$(x_1$, y_1$)$$ and $$(x_2$, y_2$)$$?

Accepted Answer

$$d = \sqrt{(x_2$-x_1$)^2$$ + ($$y_2$$-$$y_1)^2$}$$

Question 11

Given $$f(x) = 6 - 2|x-4|$$, what is the range of $$f(x)$$?

Accepted Answer

$$[0, 6]$$

Question 12

If $$f(x) = 3x - 2$$ and $$g(x) = x^2$ + x$$, what is $$f(g(x))$$?

Accepted Answer

$$3x^2 + 3x - 2$

Question 13

If $$f(x) = 3x - 2$$ and $$g(x) = x^2$ + x$$, what is $$g(f(x))$$?

Accepted Answer

$$9x^2 - 12x + 2$

Question 14

Which of the following is the correct equation for a circle with center $$(h, k)$$ and radius $$r$$?

Accepted Answer

$$(x-h)^2$$ + $$(y-k)^2$$ = $$r^2$$

Question 15

Given the function $$f(x) = \frac{x^2$-9}{x-3}$$, what is the value of $$f(4)$$?

Accepted Answer

$$7$$

Question 16

If $$f(x) = 6 - 2|x-4|$$, for which value of $$x$$ does $$f(x) = 0$$?

Accepted Answer

$$x = 7 or$$ $$x = 1$$

Question 17

Which of the following is NOT in the domain of $$f(x) = \frac{5x-11}{18-x}$$?

Accepted Answer

$$x = 18$$

Question 18

If $$\log_3$(7-x) + \log_3$(2x+1) = 3$$, which of the following is a valid solution?

Accepted Answer

$$x = 5/2$$

Question 19

Given the endpoints of a diameter of a circle at $$(5,6)$$ and $$(-1,2)$$, what is the center of the circle?

Accepted Answer

$$(2,4)$$

Question 20

Given $$f(x) = 6 - 2|x-4|$$, what is the $$x-$$intercept(s) of the graph?

Accepted Answer

$$x = 7$$ and $$x = 1$$

Precalculus Exam 1 Preparation: Key Concepts and Problem Types

Guida di studio - Domande di pratica