Based on the graph, which statement does not appear to be true?

The graph of the function shows a decrease over time.

The graph has a horizontal asymptote at y=0

The y-intercept is at the point (0, 3)

The graph represents exponential growth.

Chester was running an experiment on a sample of 400 grams of a radioactive isotope with a half-life of 1 hour. He was determining the amount of isotope remaining after various elapsed time intervals. Using his collected data, Chester formulated the graph below to model the amount of radioactive isotope remaining after an elapsed time in hours. What is the y-intercept and asymptote?

y-intercept: (0,400); asymptote: y=0

y-intercept: (0,0); asymptote: y=4

y-intercept: (0,7); asymptote: x=0

y-intercept: (0,10); asymptote: y=4

Look at the graph and answer each question. Does the graph show growth or decay? What is the y-intercept? What is the asymptote?

Decay y-intercept: (0, 5) asymptote: y = 0

Growth y-intercept: (0, 5) asymptote: y = 0

Growth y-intercept: (0, 5) asymptote: y = 5

Decay y-intercept: (0, 5) asymptote: x = 0

Key Features of Exponential Functions

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF-IF.C.7E, HSF.IF.B.5, HSF.LE.B.5

+14

Standards-aligned

Ilia Slattery

Used 111+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Is this exponential growth or decay?

Growth

Decay

Tags

CCSS.HSF-IF.C.7E

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the asymptote value in the function?

3

2

7

0

Tags

CCSS.HSF-IF.C.7E

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the y-intercept of the function?

2

3

1

-2

Tags

CCSS.HSF-IF.C.7E

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the y-intercept of the function:
y = 1.25(5)^x

5

1

.25

1.25

Tags

CCSS.HSF-IF.C.7E

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

300

1.16

.16

x

Tags

CCSS.HSF.LE.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is this exponential growth or decay?

Growth

Decay

Tags

CCSS.HSF-IF.C.8B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Classify the function, f(x) = 6.5(0.85)^x.

exponential growth

exponential decay

positive linear

negative linear

Tags

CCSS.HSF-IF.C.8B

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Key Features of Exponential Functions

30 questions

Is this exponential growth or decay?

What is the asymptote value in the function?

What is the y-intercept of the function?

Determine the y-intercept of the function:y = 1.25(5)x

What is a, the starting term, for the function: f(x) = 300(1.16)x?

Is this exponential growth or decay?

Classify the function, f(x) = 6.5(0.85)x.

What is the y-intercept?

What is the asymptote?

What is the range of this graph?

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Discover more resources for Mathematics

Determine the y-intercept of the function:
y = 1.25(5)^x

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

Classify the function, f(x) = 6.5(0.85)^x.