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1. Understand the question

   6.1 hw (ha2)
   2025rs2-red mountain-campos-honors aloebra ii (lms)
   6.1 hw (ha2) (lms graded)
   part 2 of 5
   identify the domain, range, intercept, and asymptote of the exponential function. then describe the end behavior.
   $f(x)=5\\cdot8^{x}$

   find the range of the function $f(x)=5\\cdot8^{x}$. choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
   ○ a. $\\{y|y>\\ \\}$
   ○ b. $\\{y|y=\\ \\}$
   (use a comma to separate answers as needed.)
   ○ c. $\\{y|y\
   eq\\ \\}$
   (use a comma to separate answers as needed.)
   ○ d. $\\{y|y<\\ \\}$
   ○ e. all real numbers
   help me solve this view an example get more help
   review progress

2. Explanation

   Step1: Analyze the exponential term

   For any real number $x$, $8^x > 0$.

   Step2: Scale the exponential term

   Multiply by 5: $5 \cdot 8^x > 5 \cdot 0$, so $5 \cdot 8^x > 0$.

   Step3: Define the range

   Since $f(x)=5 \cdot 8^x$, the output values $y=f(x)$ are all real numbers greater than 0.

3. Final answer

   A. $\{y|y > 0\}$

Answer

Question Analysis

OCR Text

6.1 hw (ha2)
2025rs2-red mountain-campos-honors aloebra ii (lms)
6.1 hw (ha2) (lms graded)
part 2 of 5
identify the domain, range, intercept, and asymptote of the exponential function. then describe the end behavior.
$f(x)=5\\cdot8^{x}$

find the range of the function $f(x)=5\\cdot8^{x}$. choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
○ a. $\\{y|y>\\ \\}$
○ b. $\\{y|y=\\ \\}$
(use a comma to separate answers as needed.)
○ c. $\\{y|y\
eq\\ \\}$
(use a comma to separate answers as needed.)
○ d. $\\{y|y<\\ \\}$
○ e. all real numbers
help me solve this view an example get more help
review progress

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