For the function f(x) = (x+1)/(2x+5): State the domain of the following rational function by using interval notation.
Pre-calculus Practice Quiz 1.7-1.11

Quiz
•
Mathematics
•
12th Grade
•
Hard
FREE Resource
29 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The domain is all real numbers except x = -5/2, so (-∞, -5/2) ∪ (-5/2, ∞).
The domain is all real numbers except x = 0, so (-∞, 0) ∪ (0, ∞).
The domain is all real numbers except x = 2, so (-∞, 2) ∪ (2, ∞).
The domain is all real numbers except x = -1, so (-∞, -1) ∪ (-1, ∞).
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function f(x) = (x+1)/(2x+5): Find the horizontal or slant asymptote.
The horizontal asymptote is y = 1/2.
The horizontal asymptote is y = 2.
The slant asymptote is y = x/2.
There is no horizontal or slant asymptote.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function f(x) = (x+1)/(2x+5): Use your HA or SA to determine the end behavior of the function.
As x approaches ±∞, f(x) approaches 1/2.
As x approaches ±∞, f(x) approaches 2.
As x approaches ±∞, f(x) approaches 0.
As x approaches ±∞, f(x) approaches 5.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The domain is all real numbers since the denominator has no real roots. (-∞, ∞)
The domain is all real numbers except x = -2. (-∞, -2) ∪ (-2, ∞)
The domain is all real numbers except x = 0. (-∞, 0) ∪ (0, ∞)
The domain is all real numbers except x = -5. (-∞, -5) ∪ (-5, ∞)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The slant asymptote is y = x + 5 (from polynomial long division).
The horizontal asymptote is y = 0.
The slant asymptote is y = x - 2.
The horizontal asymptote is y = 1.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
As x approaches ±∞, h(x) approaches the slant asymptote y = x + 5.
As x approaches ±∞, h(x) approaches the horizontal asymptote y = 0.
As x approaches ±∞, h(x) approaches the horizontal asymptote y = 1.
As x approaches ±∞, h(x) approaches the slant asymptote y = x - 2.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The domain is all real numbers except x = 6 and x = -4, so (-∞, -4) ∪ (-4, 6) ∪ (6, ∞).
The domain is all real numbers except x = 4 and x = -6, so (-∞, -6) ∪ (-6, 4) ∪ (4, ∞).
The domain is all real numbers except x = 2 and x = -12, so (-∞, -12) ∪ (-12, 2) ∪ (2, ∞).
The domain is all real numbers except x = 1 and x = -24, so (-∞, -24) ∪ (-24, 1) ∪ (1, ∞).
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