Graphing Rational Functions #2

1. What is the vertical asymptote of this function?

[math]f\left(x\right)=\frac{3x}{x+2}-4[/math]

[math]x=-2[/math] [math]x=4[/math] [math]x=2[/math] [math]x=3[/math]

2. What is the horizontal asymptote of this function?

[math]f\left(x\right)=\frac{3x}{x+2}-4[/math]

[math]y=-2[/math] [math]y=1[/math] [math]y=-4[/math] [math]y=-1[/math]

3. What is the y-intercept of this function?

[math]f\left(x\right)=\frac{3x}{x+2}-4[/math]

[math]\left(0,-2\right)[/math] [math]\left(0,-4\right)[/math] [math]\left(0,4\right)[/math] [math]\left(0,3\right)[/math]

4. What is the vertical asymptote of this function?

[math]f\left(x\right)=\frac{x}{x-5}+3[/math]

[math]x=5[/math] [math]x=-5[/math] [math]x=3[/math] [math]x=4[/math]

5. What is the horizontal asymptote of this function?

[math]f\left(x\right)=\frac{x}{x-5}+3[/math]

[math]y=-3[/math] [math]y=5[/math] [math]y=4[/math] [math]y=3[/math]

6. What is the y-intercept of this function?

[math]f\left(x\right)=\frac{x}{x-5}+3[/math]

[math]\left(0,3\right)[/math] [math]\left(0,5\right)[/math] [math]\left(0,-3\right)[/math] [math]\left(0,4\right)[/math]

7. What are the vertical asymptotes of this function?

[math]f\left(x\right)=\frac{x}{\left(x+3\right)\left(x-1\right)}+2[/math]

[math]x=0[/math] and [math]x=2[/math] [math]x=-3[/math] and [math]x=1[/math] [math]x=0[/math] and [math]x=-2[/math] [math]x=3[/math] and [math]x=-1[/math]

8. What is the horizontal asymptote of this function?

[math]f\left(x\right)=\frac{x}{\left(x+3\right)\left(x-1\right)}+2[/math]

[math]y=3[/math] [math]y=-2[/math] [math]y=2[/math] [math]y=1[/math]

9. What is the y-intercept of this function?

[math]f\left(x\right)=\frac{x}{\left(x+3\right)\left(x-1\right)}+2[/math]

[math]\left(0,2\right)[/math] [math]\left(0,3\right)[/math] [math]\left(0,-2\right)[/math] [math]\left(0,-3\right)[/math]

10. Which of these functions has a vertical asymptote at x = 1 with the curve headed in the same direction?

[math]f\left(x\right)=\frac{2x}{\left(x+2\right)\left(x-1\right)^2}+1[/math] [math]f\left(x\right)=\frac{2x}{\left(x-2\right)^2\left(x+1\right)}+1[/math] [math]f\left(x\right)=\frac{2x}{\left(x-2\right)\left(x+1\right)^2}+1[/math] [math]f\left(x\right)=\frac{2x}{\left(x+2\right)^2\left(x-1\right)}+1[/math]

11. Which of these functions has a vertical asymptote at x = 1 with the curve headed in different directions?

[math]f\left(x\right)=\frac{2x}{\left(x+2\right)\left(x-1\right)^2}+1[/math] [math]f\left(x\right)=\frac{2x}{\left(x-2\right)^2\left(x+1\right)}+1[/math] [math]f\left(x\right)=\frac{2x}{\left(x-2\right)\left(x+1\right)^2}+1[/math] [math]f\left(x\right)=\frac{2x}{\left(x+2\right)^2\left(x-1\right)}+1[/math]

12. Create any rational Graph...

(This is to see if you remember how to use this.)

Graphing Rational Functions #2

1. What is the vertical asymptote of this function?

2. What is the horizontal asymptote of this function?

3. What is the y-intercept of this function?

4. What is the vertical asymptote of this function?

5. What is the horizontal asymptote of this function?

6. What is the y-intercept of this function?

7. What are the vertical asymptotes of this function?

8. What is the horizontal asymptote of this function?

9. What is the y-intercept of this function?

10. Which of these functions has a vertical asymptote at x = 1 with the curve headed in the same direction?

11. Which of these functions has a vertical asymptote at x = 1 with the curve headed in different directions?

12. Create any rational Graph...

Information: Graphing Rational Functions #2