Horizontal Asymptote of the Graph of an Exponential Function. | Quizalize

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Horizontal Asymptote of the Graph of an Exponential Function. | Quizalize

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Horizontal Asymptote of the Graph of an Exponential Function.

Quiz by Katrina Catura

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Q 1/10
Score 0
Identify the horizontal asymptote of the function f(x) = 2(3)^2x+ 1
30
HA: y = 2
HA: y = 1
HA: y = 0
Q 2/10
Score 0
Identify the horizontal asymptote of the function f(x) = 2^x+1
30
HA: y = 0
HA: y = -2
HA: y = 1

10 questions

Q.

Identify the horizontal asymptote of the function f(x) = 2(3)^2x+ 1

1

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = 2^x+1

2

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = -1 + 2(3)^2x

3

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = 2^x-3

4

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = 3/2 (7)^x+6

5

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = 7^x+5+ 6

6

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = 4^x- 14

7

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = -2(5)^x-1+ 3

8

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = -7(8)^{2x -5}+2

9

30 sec

Q.

Identify the horizontal asymptote of the function f(x) = 11 (9)^x-4+3

10

30 sec

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Here is a quiz based on the “Reciprocal of a Linear Function” content from your PowerPoint. --- Quiz: Reciprocal of a Linear Function Multiple Choice (5 questions) Select the best answer. 1. What is the vertical asymptote of f(x) = \dfrac{1}{x - 3}? a) x = 0 b) x = 3 c) x = -3 d) y = 0 2. For f(x) = \dfrac{1}{2x + 4}, what is the y-intercept? a) 0 b) \dfrac{1}{2} c) \dfrac{1}{4} d) 2 3. What is the horizontal asymptote of any function of the form f(x) = \dfrac{1}{ax + b} (with a \neq 0)? a) y = 0 b) y = 1 c) x = 0 d) x = -\dfrac{b}{a} 4. The domain of f(x) = \dfrac{1}{5 - x} is a) all real numbers except 5 b) all real numbers except -5 c) all real numbers d) all real numbers except 0 5. As x approaches the vertical asymptote from the right, the values of f(x) a) approach 0 b) approach \pm\infty c) approach 1 d) approach the same value as from the left --- Completion (5 questions) Fill in the blank with the correct word or expression. 1. The vertical asymptote of a reciprocal linear function occurs where the ____________________ is zero. 2. The horizontal asymptote of f(x) = \dfrac{1}{ax + b} is the line y = ________. 3. A function of the form f(x) = \dfrac{1}{ax + b} has ______ x-intercept(s) because the numerator is constant. 4. The end behavior of f(x) = \dfrac{1}{x - 2} as x \to \infty is f(x) \to ________. 5. The y-intercept of f(x) = \dfrac{1}{3x - 6} is ________. --- Answer Key Multiple Choice 1. b) x = 3 2. c) \dfrac{1}{4} (Substitute x = 0: f(0) = \frac{1}{4}) 3. a) y = 0 4. a) all real numbers except 5 5. b) approach \pm\infty Completion 6. denominator 7. 0 8. no / zero 9. 0 (from the positive side) 10. -\dfrac{1}{6} (Substitute x = 0: f(0) = \frac{1}{-6})
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