10th
-
12th
grade

Mathematics

74%

accuracy

117

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Adam Hosler

3 years

Mathematics

10th -

12thgrade

Rational Functions Homework

Adam Hosler

117
plays

19 questions

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1. Multiple Choice
30 seconds
1 pt
To find the domain and vertical asymptotes, you set the bottom of the function equal to zero.
TRUE
FALSE
2. Multiple Choice
30 seconds
1 pt
Find the domain of the function:

$f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$
$D:\ \ all\ Real\ numbers,\ x\ne2,3$
$D:\ \ all\ Real\ numbers,\ x\ne-3,-2$
$D:\ \ all\ Real\ numbers,\ x\ne-3,1$
$D:\ \ all\ Real\ numbers,\ x\ne-1,3$
3. Multiple Choice
30 seconds
1 pt
Find the vertical asymptotes of the function:

$f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$
$x=2,3$
$x=-3,-2$
$x=-3,1$
None
4. Multiple Choice
30 seconds
1 pt
To find the horizontal asymptote, you use the FIVE rules we learned in class,
TRUE
FALSE
5. Multiple Choice
30 seconds
1 pt
Find the horizontal asymptote of the function:

$f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$
$y=2$
$y=0$
$y=-2$
None
6. Multiple Choice
30 seconds
1 pt
To find the x-intercepts, you set the bottom equal to zero.
TRUE
FALSE
7. Multiple Choice
30 seconds
1 pt
Find the x-intercepts of the function:

$f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$
$-3,1$
$2,3$
$-1,3$
$-1$
8. Multiple Choice
30 seconds
1 pt
To find the y-intercept, you make all the x's equal to zero and simplify.
TRUE
FALSE
9. Multiple Choice
30 seconds
1 pt
Find the y-intercept of the function:

$f\left(x\right)=\frac{2x^2+4x-6}{x^2-5x+6}$
$-1$
$-3$
$1$
$-3,1$
10. Multiple Choice
30 seconds
1 pt
Find the domain of the function:

$f\left(x\right)=\frac{x^3-27}{x^2+10x+9}$
$D:\ \ all\ Real\ numbers,\ x\ne-9,-1$
$D:\ \ all\ Real\ numbers,\ x\ne1,9$
$D:\ \ all\ Real\ numbers,\ x\ne3$
$D:\ \ all\ Real\ numbers,\ x\ne-3$
11. Multiple Choice
30 seconds
1 pt
Find the vertical asymptotes of the function:

$f\left(x\right)=\frac{x^3-27}{x^2+10x+9}$
$x=-9,-1$
$x=1,9$
$x=3$
None
12. Multiple Choice
30 seconds
1 pt
Find the horizontal asymptote of the function:

$f\left(x\right)=\frac{x^3-27}{x^2+10x+9}$
$y=3$
$y=0$
$y=-3$
None
13. Multiple Choice
30 seconds
1 pt
Find the x-intercept of the function:

$f\left(x\right)=\frac{x^3-27}{x^2+10x+9}$
$3$
$0$
$-3$
None
14. Multiple Choice
30 seconds
1 pt
Find the y-intercept of the function:

$f\left(x\right)=\frac{x^3-27}{x^2+10x+9}$
$3$
$0$
$-3$
$4$
15. Multiple Choice
30 seconds
1 pt
Find the domain of the function:

$f\left(x\right)=\frac{x^2-12x+20}{3x^3+24}$
$D:\ \ all\ Real\ numbers,\ x\ne-2$
$D:\ \ all\ Real\ numbers,\ x\ne2$
$D:\ \ all\ Real\ numbers,\ x\ne2,10$
$D:\ \ all\ Real\ numbers,\ x\ne-10,-2$
16. Multiple Choice
30 seconds
1 pt
Find the vertical asymptote of the function:

$f\left(x\right)=\frac{x^2-12x+20}{3x^3+24}$
$x=-2$
$x=2$
$x=10$
None
17. Multiple Choice
30 seconds
1 pt
Find the horizontal asymptote of the function:

$f\left(x\right)=\frac{x^2-12x+20}{3x^3+24}$
$y=10$
$y=2$
$y=0$
None
18. Multiple Choice
30 seconds
1 pt
Find the x-intercepts of the function:

$f\left(x\right)=\frac{x^2-12x+20}{3x^3+24}$
$2,10$
$-2$
$-10,-2$
$10$
19. Multiple Choice
30 seconds
1 pt
Find the y-intercept of the function:

$f\left(x\right)=\frac{x^2-12x+20}{3x^3+24}$
NOTE: You must write it in REDUCED form, NO DECIMALS!!!
$\frac{20}{24}$
$\frac{10}{12}$
$\frac{5}{6}$
$0.8\overline{3}$
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