Understanding Exponential Functions Concepts

Understanding Exponential Functions Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the domain and range of an exponential function by analyzing its graph. It covers the basic exponential function, transformations, and reflections. The tutorial provides a shortcut formula for determining domain and range without graphing. The domain of exponential functions is always from negative infinity to positive infinity, while the range depends on the transformations applied.

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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the domain and range of an exponential function?

Graphing the function

Calculating the derivative

Solving the equation

Finding the intercepts

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic form of an exponential function?

f(x) = log(x)

f(x) = x^3

f(x) = 2^x

f(x) = x^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does a left shift affect the graph of an exponential function?

Moves it to the left

Moves it down

Moves it up

Moves it to the right

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the negative sign in front of the base of an exponential function indicate?

A vertical stretch

A reflection over the x-axis

A reflection over the y-axis

A horizontal shift

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of shifting an exponential graph up by three units?

The range becomes negative

The domain changes

The graph reflects over the x-axis

The horizontal asymptote moves up by three units

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of reflecting an exponential graph over the x-axis?

The graph remains unchanged

The graph flips upside down

The graph shifts right

The graph shifts left

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of a vertical shift on the horizontal asymptote of an exponential function?

It reflects the asymptote over the x-axis

It moves the asymptote left or right

It does not affect the asymptote

It moves the asymptote up or down

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