o b. {y|y = } (use a comma to separate answers as needed.) o c. {y|y ≠ …
5
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.)
Solution Steps
-
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 numbersthe y-intercept of the function $f(x) = 5 \\cdot 8^{x}$ is . (type an integer or a decimal.)
-
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 $8^0 = 1$,
$$f(0) = 5 \cdot 1 = 5$$ -
Final answer
5
Answer
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
Click to enlargeQuestion 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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