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$Mathematics Hub$

Mathematics Hub

Senior High School Math Hub

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Learning Materials
General Mathematics
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Lesson 18 : Domain and Range of Exponential Functions

Slide 1

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Domain and Range of Exponential Functions

2. Read the Module

3. Solve the LAS

4. Growth Mindset Focus

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5. Take a Quiz

Test you knowledge and apply what you’ve learned through interactive quizzes and practice activities related to module 1.

Domain and Range of Exponential Functions

1 / 9

refer to the given function 𝑓(𝑥) = 5^𝑥 + 2. What is the range of the exponential function?

a. {𝑦|𝑦 ∈ ℝ }

b. {𝑦|𝑦 ∈ ℝ, 𝑦 > 2}

c. {𝑦|𝑦 ∈ ℝ, 𝑦 > 0}

d. {𝑦|𝑦 ∈ ℝ, 𝑦 < 2}

2 / 9

refer to the given function 𝑓(𝑥) = 5^𝑥 + 2. What is the domain of the exponential function?

a. {𝑥|𝑥 ∈ ℝ }

b. {𝑥|𝑥 ∈ ℝ, 𝑥 > 2}

c. {𝑥|𝑥 ∈ ℝ, 𝑥 > 0}

d. {𝑥|𝑥 ∈ ℝ, 𝑥 < 5}

3 / 9

refer to the given function 𝑓(𝑥) = 3^(𝑥+1). What is the range of the exponential function?

a. {𝑦|𝑦 ∈ ℝ }

b. {𝑦|𝑦 ∈ ℝ, 𝑦 ≥ 0}

c. {𝑦|𝑦 ≤ 0}

d. {𝑦|𝑦 ∈ ℝ, 𝑦 > 0}

4 / 9

refer to the given function 𝑓(𝑥) = 3^(𝑥+ 1). What is the domain of the exponential function?

a. {𝑥|𝑥 ∈ ℝ }

b. {𝑥|𝑥 ∈ ℝ, 𝑥 ≥ 0}

c. {𝑥|𝑥 ∈ ℝ, 𝑥 ≤ 0}

d. {𝑥|𝑥 ∈ ℝ, 𝑥 > 0}

5 / 9

What is the range of the exponential function 𝑓(𝑥) = 𝑏^𝑥?

a. {𝑦|𝑦 ∈ ℝ }

b. {𝑦|𝑦 ∈ ℝ , y ≥ 0}

c. {𝑦|𝑦 ∈ ℝ , y < 0}

d. {𝑦|𝑦 ∈ ℝ , y > 0}

6 / 9

Which of the following statements is true about the function 𝑦 = 3^𝑥 ?

a. The range of the function is the set of all real numbers.

b. The domain of the function is the set of real numbers less than 3.

c. The range of the function is the set of all real numbers less than 3.

d. The domain of the function is the set of all real numbers.

7 / 9

Which of the following statement is never true?

a. For any given x-value, the y-value of 𝑦 = 5^𝑥 is negative.

b. For any given x-value, the y-value of 𝑦 = 5^𝑥 is positive.

c. The domain of an exponential function 𝑦 = 5^𝑥 includes positive numbers.

d. The domain of an exponential function 𝑦 = 5^𝑥 is all real numbers.

8 / 9

Which of the following does not exist?

a. zero on the numerator

b. zero values under the square root sign

c. negative values on the denominator

d. negative values under the square root sign

9 / 9

The resulting y-values after we have substituted in the possible x-values is called
_________.

a. Range

b. Domain

c. Real Numbers

d. Exponential Function

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Domain and Range of Exponential Functions

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LAS - Domain and Range of Exponential Functions

16. General Mathematics Q1 - DOMAIN AND RANGE OF AN EXPONENTIAL FUNCTION

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