The graph of the equation $|x|+2|y|=2$ is symmetric with respect to which of the following?

1. the origin

2. the x-axis

3. the y-axis

1. I only

2. II only

3. III only

4. I, II, and III

Which are the x- and y-intercepts of the graph of $y=x^2-9?$

1. x-intercept 3, y-intercept $-9$

2. x-intercepts $\pm 3,$ y-intercept $-9$

3. x-intercept 3, y-intercept 9

4. x-intercepts $\pm 3,$ y-intercepts $\pm 9$

The slope of a line is undefined if the line is parallel to

1. the x-axis.

2. the line $x-y=0$.

3. the line $x+y=0$.

4. the y-axis.

Which is an equation of the circle with center $(0,-5)$ and radius 7?

1. $x^2+y^2-10y=0$

2. $x^2+{(y-5)}^2=7$

3. $x^2+{(y-5)}^2=49$

4. $x^2+y^2+10y=24$

Which is an equation of the line passing through $(2,-3)$ and having slope $-1?$

1. $y+3=-(x+2)$

2. $y-3=-(x-2)$

3. $y+3=-(x-2)$

4. $y+3=-(x+2)$

What is a second point on the line through (3, 2) having

slope $-{\displaystyle \frac{1}{2}}?$

1. (2, 4)

2. (5, 1)

3. (7, 0)

4. (4, 4)

Which is an equation of the line parallel to the line $6x-3y=5$ passing through $(-1,2)?$

1. $y-2=-2(x+1)$

2. $y-2=6(x+1)$

3. $y-2=-6(x+1)$

4. $y-2=2(x+1)$

Use $f(x)=3x-5$ and $g(x)=2-x^2$ to find $(f\circ g)(x).$

1. $-9x^2+30x-23$

2. $-3x^2+1$

3. $3x^2+1$

4. $9x^2-30x+23$

Use $f(x)=2x^2-x$ to find $(f\circ f)(x).$

1. $8x^4-8x^3+x$

2. $8x^4+x$

3. $4x^4-4x^3+x^2-x$

4. $4x^4-x^3+x^2$

5. $-x^4+6x^2-x$

Assuming that $g(t)={\displaystyle \frac{1-t}{1+t}},$ find $g(a-1).$

1. ${\displaystyle \frac{2-a}{2+a}}$

2. ${\displaystyle \frac{1-a}{1+a}}$

3. ${\displaystyle \frac{2-a}{a}}$

4. $-1$

The domain of the function $f(x)=\sqrt{x}+\sqrt{1-x}$ is

1. [0, 1].

2. $(-\infty ,-1]\cup [0,+\infty )$.

3. $(-\infty ,1]$.

4. $[0,+\infty )$.

Let $f(x)=x^2+3x-4.$ Find all values of x for which (x, 6) is on the graph of f.

1. $-5,1$

2. $-2,5$

3. $2,-4$

4. $2,-5$

Find the intervals where the function whose graph is shown here is increasing or decreasing.

1. Increasing on (0, 3), decreasing on $(-3,0)\cup (3,4)$

2. Increasing on $(-1,3),$ decreasing on $(2,-1)\cup (3,1)$

3. Increasing on $(-3,3),$ decreasing on $(2,-1)\cup (3,1)$

4. Increasing on (1.2, 4), decreasing on $(-3,-1.4)$

Suppose the graph of f is given. Describe how the graph of $y=f(x+4)$ can be obtained from the graph of f.

1. By shifting the graph of f 4 units to the left

2. By shifting the graph of f 4 units down

3. By shifting the graph of f 4 units up

4. By shifting the graph of f 4 units to the right

5. By shifting the graph of f about the x-axis

Suppose the graph of f is given. Describe how the graph of $y=-2f(x-4)$ can be obtained from the graph of f.

1. By shifting the graph of f 4 units to the left, shrinking vertically by a factor of ${\displaystyle \frac{1}{2}},$ and reflecting about the x-axis

2. By shifting the graph of f 4 units to the right, stretching vertically by a factor of 2, and reflecting about the x-axis

3. By shifting the graph of f 4 units to the left, shrinking vertically by a factor of ${\displaystyle \frac{1}{2}},$ and reflecting about the x-axis

4. By shifting the graph of f 4 units to the right, stretching vertically by a factor of 2, and reflecting about the y-axis

Which of the following is a one-to-one function?

1. $f(x)=|x+3|$

2. $f(x)=x^2$

3. $f(x)=\sqrt{x^2+9}$

4. $f(x)=x^3+2$

If f is a one-to-one function and $f(3)=5,$ then $f^{-1}(5)$ equals

1. ${\displaystyle \frac{1}{5}}$.

2. ${\displaystyle \frac{1}{3}}$.

3. 3.

4. $-5$.

Find the inverse function $f^{-1}(x)$ of $f(x)={\displaystyle \frac{x}{3x+2}}.$

1. ${\displaystyle \frac{3x}{x-2}}$

2. ${\displaystyle \frac{2x}{3x-1}}$

3. ${\displaystyle \frac{2x}{1-3x}}$

4. ${\displaystyle \frac{x}{x-3}}$

The ideal weight w (in pounds) for a man of height x inches is found by subtracting 190 from five times his height. Write a linear equation that gives the ideal weight of a man of height x inches. Then find the ideal weight of a man whose height is 70 inches.

1. $w={\displaystyle \frac{x+190}{5}},$ 160 lb

2. $w=5x-190,$ 160 lb

3. $w=190-{\displaystyle \frac{x}{5}},$ 176 lb

4. $w={\displaystyle \frac{x+190}{5}},$ 52 lb

Cassie rented an intermediate sedan at $25.00 per day plus $0.20 per mile. How many miles can Cassie travel in one day for $50.00?

1. 125

2. 1025

3. 250

4. 175