4/16-4/17 - 5th Pd. - Unit 8 Test: Rational Functions
Quiz by Jennifer Hollingsworth
High School (Archived)
Algebra II (Archived)
Texas Essential Knowledge and Skills (TEKS)
Feel free to use or edit the questions
includes Teacher and Student dashboards
Measures 5 skills from
High School (Archived)
Algebra II (Archived)
Texas Essential Knowledge and Skills (TEKS)
111.40.C.6.L
Formulate and solve equations involving inverse variation.
111.40.C.7.F
Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two
111.40.C.2.A
Graph the functions f(x)=√x, f(x)=1/x, f(x)=x3, f(x)= 3√x, f(x)=bx, f(x)=|x|, and f(x)=logb (x) where b is 2, 10, and e, and, when applicable, analyze the key attributes such as domain, range, intercepts, symmetries, asymptotic behavior, and maximum and minimum given an interval
111.40.C.6.G
Analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d
111.40.C.6.K
Determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation
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Q 1/10
Score 0
Suppose that x and y vary inversely, and x=10 when y=8. Find x when y=12.
300
6.67
9.6
.8
15
Q 2/10
Score 0
Simplify the rational expression. $\frac{(x-8)(x+4)}{x-8}$
300
$x+8$
$\frac{1}{2}$
$\frac{1}{x+4}$
$x+4$
Q 3/10
Score 0
What is the product of these expressions? $\frac{(x+3)(x-1)}{(x-6)(x+3)}*\frac{4(x-6)}{2(x-1)}$
300
$\frac{1}{2}$
$\frac{2(x-1)(x-6)}{(x-6)(x-1)}$
$2$
$\frac{x-1}{x-6}$
Q 4/10
Score 0
What of the following is true of the graph of $y=\frac{5(x+3)}{x+3}$?
300
Hole at $x=-3$
vertical asymptote at $x=3$
Hole at $x=3$
vertical asymptote at $x=-3$
Q 5/10
Score 0
Daniel wants to write an equation that will vertically stretch, reflect across the x-axis, and shift the graph down. Which equation fits these transformations?
300
$y=\frac{-1}{2x-3}$
$y=\frac{-3}{x}-2$
$y=\frac{-5}{x-3}+4$
$y=\frac{-1}{4x}-5$
Q 6/10
Score 0
In $y=\frac{a}{x-h}+k$, what happens to the graph as k changes?
300
the graph moves left/right
the graph reflects
the graph vertically stretches/compresses
the graph moves up/down
Q 7/10
Score 0
What is the product of these expressions? $\frac{x^2}{x-3}*\frac{(x-3)(x+2)}{x(x+1)}$
300
$\frac{x+2}{x+1}$
$\frac{x(x+2)}{x+1}$
$\frac{x^2(x+2)}{x(x+1)}$
Q 8/10
Score 0
Can a vertical asymptote be crossed?
300
Always
Never
Sometimes
Q 9/10
Score 0
What affects the domain of a rational function?
300
Horizontal Asymptotes & Holes
Vertical Asymptotes Only
Vertical Asymptotes & Holes
Holes Only
Q 10/10
Score 0
What are the restrictions for the rational expression $\frac{x+2}{(x+3)(x-4)}$
300
$x\not=3, -4$
$x\not=3, -4, 2$
$x\not=-3, 4, -2$
$x\not=-3, 4$
10 questions
Q.Suppose that x and y vary inversely, and x=10 when y=8. Find x when y=12.
1
Text to speech
300 sec
111.40.C.6.L
Q.Simplify the rational expression. x−8(x−8)(x+4)
2
Text to speech
300 sec
111.40.C.7.F
Q.What is the product of these expressions? (x−6)(x+3)(x+3)(x−1)∗2(x−1)4(x−6)
3
Text to speech
300 sec
111.40.C.7.F
Q.What of the following is true of the graph of y=x+35(x+3)?
4
Text to speech
300 sec
111.40.C.2.A
Q.Daniel wants to write an equation that will vertically stretch, reflect across the x-axis, and shift the graph down. Which equation fits these transformations?
5
Text to speech
300 sec
111.40.C.6.G
Q.In y=x−ha+k, what happens to the graph as k changes?
6
Text to speech
300 sec
111.40.C.6.G
Q.What is the product of these expressions? x−3x2∗x(x+1)(x−3)(x+2)
7
Text to speech
300 sec
111.40.C.7.F
Q.Can a vertical asymptote be crossed?
8
Text to speech
300 sec
111.40.C.2.A
Q.What affects the domain of a rational function?
9
Text to speech
300 sec
111.40.C.6.K
Q.What are the restrictions for the rational expression (x+3)(x−4)x+2