Question 1

Which of the following functions is symmetric with respect to the y-axis?

Accepted Answer

$$f(x) = x^2$ + 4$$

Question 2

Given the function $$f(x) = \sqrt{x-3}$$, which of the following describes its domain?

Accepted Answer

$$x \geq 3$$

Question 3

A company charges a set-up fee of $$225, then 6.75 $$per shirt to produce new t-shirts. Which function models the total cost $$C(x) of $$producing $$x$$ shirts?

Accepted Answer

$$C(x) = 225 + 6.75x$$

Question 4

Which of the following is the equation of a circle with center at $$(2, 7)$$ and radius $$8$$?

Accepted Answer

$$(x-2)^2$$ + $$(y-7)^2 = 64$

Question 5

Solve for $$x$$: $$3x^2 + 4x = 19$

Accepted Answer

Question 6

Given $$f(x) = 2x + 3$$ and $$g(x) = \dfrac{1}{x^2$ - 4x + 5}$$, what is the domain of $$g(x)$$?

Accepted Answer

$$x \in \mathbb{R}$$

Question 7

Which of the following describes the transformation from $$f(x) = x to$$ $$g(x) = \sqrt{x-3} - 2$$?

Accepted Answer

Shift right 3 units, down 2 units, and change to a square root function

Question 8

A population of 7,500 people is experiencing exponential growth at a rate of 2.5\% per year. Which equation models the population $$P$$ after $$t$$ years?

Accepted Answer

$$P = 7500(1.025)^t$$

Question 9

Solve the system of equations: $$\begin{cases} 2x + y = 5 \ 3x - y = 4 \end{cases}$$

Accepted Answer

$$x = 2, y = 1$$

Question 10

Which of the following best describes the range of the function $$f(x) = \sqrt{x-3}$$?

Accepted Answer

$$[0, \infty)$$

Question 11

If $$f(x) = x^2$ - 4x + 3$$, what are the $$x-$$intercepts of the graph?

Accepted Answer

$$x = 1$$ and $$x = 3$$

Question 12

Which of the following is the inverse of $$f(x) = 2x + 3$$?

Accepted Answer

$$f^{-1}(x$$) = \dfrac{x-3}{2}$$

Question 13

Solve the inequality $$2x - 3 \u003e 7. $$Write the solution in interval notation.

Accepted Answer

$$(5, \infty)$$

Question 14

Which of the following best describes the end behavior of $$f(x) = -x^3$ + 2x as$$ $$x 	o \infty$$?

Accepted Answer

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

Question 15

Which of the following is the solution to $$\dfrac{2x-1}{x+3} = 1$$?

Accepted Answer

$$x = 4$$

Question 16

A line passes through the point $$(-5,2)$$ and is parallel to the line $$y = 3x - 5. $$What is its equation?

Accepted Answer

$$y = 3x + 17$$

Question 17

Which of the following is the correct solution to $$3x^2 - 5x - 2 = 0$?

Accepted Answer

$$x = 2, x = -\dfrac{1}{3}$$

Question 18

Given $$f(x) = x^2$ - 4x + 3$$, what is the vertex of the parabola?

Accepted Answer

$$(2, -1)$$

Question 19

Which of the following is the solution to the system of inequalities $$\begin{cases} x - 2y \leq 10 \ 3x - 4y \u003e 8 \end{cases}$$?

Accepted Answer

$$x = 6, y = -2$$

Question 20

If $$f(x) = x^2$ - 4x + 3$$, for which value of $$x$$ does $$f(x)$$ attain its minimum?

Accepted Answer

$$x = 2$$

College Algebra Final Exam Review: Comprehensive Study Notes

Guida di studio - Domande di pratica

Study guide - Flashcard