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o b. {y|y = } (use a comma to separate answers as needed.) o c. {y|y ≠ …

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Catégorie: calculus Mis à jour: 2026-02-09

Question

o b. {y|y = } (use a comma to separate answers as needed.)
o c. {y|y ≠ } (use a comma to separate answers as needed.)
o d. {y|y < }
o e. all real numbers

the y-intercept of the function $f(x) = 5 \\cdot 8^{x}$ is . (type an integer or a decimal.)

Étapes de solution

  1. Understand the question

    o b. {y|y = } (use a comma to separate answers as needed.)
    o c. {y|y ≠ } (use a comma to separate answers as needed.)
    o d. {y|y < }
    o e. all real numbers

    the y-intercept of the function $f(x) = 5 \\cdot 8^{x}$ is . (type an integer or a decimal.)

  2. Explanation

    Step1: Recall y-intercept definition

    The y-intercept occurs at $x=0$.

    Step2: Substitute $x=0$ into function

    $$f(0) = 5 \cdot 8^{0}$$

    Step3: Evaluate exponential term

    Since $8^0 = 1$,
    $$f(0) = 5 \cdot 1 = 5$$

  3. Final answer

    5

Réponse

Explanation

Step1: Recall y-intercept definition

The y-intercept occurs at $x=0$.

Step2: Substitute $x=0$ into function

$$f(0) = 5 \cdot 8^{0}$$

Step3: Evaluate exponential term

Since $8^0 = 1$,
$$f(0) = 5 \cdot 1 = 5$$

Answer

5

Question Image

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Question Analysis

Subject mathematics
Sub Subject calculus
Education Level high school
Difficulty unspecified
Question Type multiple choice, calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-09T20:27:41

OCR Text

Show OCR extraction
o b. {y|y = } (use a comma to separate answers as needed.)
o c. {y|y ≠ } (use a comma to separate answers as needed.)
o d. {y|y < }
o e. all real numbers

the y-intercept of the function $f(x) = 5 \\cdot 8^{x}$ is . (type an integer or a decimal.)

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mathematicscalculusmultiple choice, calculationhigh schoolturns-1

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