○ c. {y|y ≠ } (use a comma to separate answers as needed.) ○ d. {y|y < …
$y=0$
Question
○ c. {y|y ≠ } (use a comma to separate answers as needed.)
○ d. {y|y < }
○ e. all real numbers
the y-intercept of the function $f(x)=5\\cdot8^{x}$ is 5.
(type an integer or a decimal.)
the asymptote of $f(x)=5\\cdot8^{x}$ is .
(type an equation.)
help me solve this view an example get n
review progress
Solution Steps
-
Understand the question
○ c. {y|y ≠ } (use a comma to separate answers as needed.)
○ d. {y|y < }
○ e. all real numbersthe y-intercept of the function $f(x)=5\\cdot8^{x}$ is 5.
(type an integer or a decimal.)the asymptote of $f(x)=5\\cdot8^{x}$ is .
(type an equation.)help me solve this view an example get n
review progress -
Explanation
Step1: Recall exponential function properties
For $f(x)=a \cdot b^x$ where $a>0, b>1$, the horizontal asymptote is the line that the function approaches but never touches as $x\to-\infty$.
Step2: Evaluate limit as $x\to-\infty$
$\lim_{x \to -\infty} 5 \cdot 8^x = 5 \cdot \lim_{x \to -\infty} 8^x = 5 \cdot 0 = 0$
This means the function approaches $y=0$. -
Final answer
$y=0$
Answer
Explanation
Step1: Recall exponential function properties
For $f(x)=a \cdot b^x$ where $a>0, b>1$, the horizontal asymptote is the line that the function approaches but never touches as $x\to-\infty$.
Step2: Evaluate limit as $x\to-\infty$
$\lim_{x \to -\infty} 5 \cdot 8^x = 5 \cdot \lim_{x \to -\infty} 8^x = 5 \cdot 0 = 0$
This means the function approaches $y=0$.
Answer
$y=0$
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
2026-02-09T20:28:15
OCR Text
Show OCR extraction
○ c. {y|y ≠ } (use a comma to separate answers as needed.)
○ d. {y|y < }
○ e. all real numbers
the y-intercept of the function $f(x)=5\\cdot8^{x}$ is 5.
(type an integer or a decimal.)
the asymptote of $f(x)=5\\cdot8^{x}$ is .
(type an equation.)
help me solve this view an example get n
review progress
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