What is the y-intercept of the function $$f(x) = 2 \times 3^x$$ ?

The y-intercept is $$f(0) = 2 \times 3^0 = 2 \times 1 = 2$$ .

What is the y-intercept of the function $$f(x) = \frac{1}{2} \times 4^x$$ ?

The y-intercept is $$f(0) = \frac{1}{2} \times 4^0 = \frac{1}{2} \times 1 = \frac{1}{2}$$ .

What is the difference between exponential growth and exponential decay?

Exponential growth occurs when the base of the function is greater than 1, leading to increasing values. Exponential decay occurs when the base is between 0 and 1, leading to decreasing values.

What does the graph of an exponential growth function look like?

The graph of an exponential growth function rises steeply as $$x$$ increases, starting from a positive y-intercept.

What does the graph of an exponential decay function look like?

The graph of an exponential decay function falls steeply as $$x$$ increases, approaching the x-axis but never touching it.

How can you identify an exponential function from a graph?

An exponential function can be identified by its characteristic curve that either rises steeply (growth) or falls steeply (decay) without any straight lines.

What is the effect of changing the value of $$a$$ in the function $$f(x) = a \times b^x$$ ?

Changing the value of $$a$$ affects the vertical stretch or compression of the graph. A larger $$a$$ stretches the graph upwards, while a smaller $$a$$ compresses it.

What is the domain and range of an exponential function?

The domain of an exponential function is all real numbers (from -∞ to +∞). The range is all positive real numbers (from 0 to +∞).

What is the horizontal asymptote of an exponential function?

The horizontal asymptote of an exponential function is the line $$y = 0$$ , which the graph approaches but never touches.

How do you determine if a function is exponential growth or decay from its equation?

If the base $$b$$ in the function $$f(x) = a \times b^x$$ is greater than 1, it is exponential growth. If $$0

Graphing Exponential Functions Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is an exponential function?

Back

2.

FLASHCARD QUESTION

Front

What is the general form of an exponential growth function?

Back

3.

FLASHCARD QUESTION

Front

What is the general form of an exponential decay function?

Back

4.

FLASHCARD QUESTION

Front

How do you find the y-intercept of an exponential function?

Back

5.

FLASHCARD QUESTION

Front

What does the base of an exponential function indicate?

Back

The base of an exponential function indicates the growth or decay rate. If the base is greater than 1, the function represents growth; if it is between 0 and 1, it represents decay.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

11 questions

H Chem: Chemical Analysis

Flashcard

•

KG

11 questions

Linear Equations Review

Flashcard

•

8th Grade

9 questions

Advantages of Cloud Storage

Flashcard

•

9th - 10th Grade

15 questions

Solving Linear Equations

Flashcard

•

8th Grade

15 questions

8.1 OpenSciEd Flashcard

Flashcard

•

8th Grade

15 questions

Final Test

Flashcard

•

8th Grade

16 questions

IGCSE Thermal Physics Flashcard

Flashcard

•

10th Grade

Popular Resources on Wayground

10 questions

5.P.1.3 Distance/Time Graphs

Quiz

•

5th Grade

10 questions

Fire Drill

Quiz

•

2nd - 5th Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

15 questions

Hargrett House Quiz: Community & Service

Quiz

•

5th Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

20 questions

Inferences

Quiz

•

4th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

10 questions

Exploring Basic Probability Concepts

Interactive video

•

6th - 10th Grade

11 questions

Adding and Subtracting Polynomials

Quiz

•

9th Grade

20 questions

Rational and Irrational Numbers, Perfect Squares, & Perfect Cube

Quiz

•

9th Grade

12 questions

Exponential Growth and Decay

Quiz

•

9th Grade

10 questions

Factoring Quadratic Expressions

Quiz

•

9th Grade

16 questions

Identifying Angles

Quiz

•

7th - 12th Grade

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade