Question

algebra 2 362403 - 6 fy - 1
6 - t: mathxl for school: practice & problem - solving
part 2 of 5
identify the domain, range, intercept, and asymptote of the exponential function. then describe the end behavior.
$f(x)=7cdot 3^{x}$
e. all real numbers
find the range of the function $f(x)=7cdot 3^{x}$. choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
a. ${ y|y = square}$
(use a comma to separate answers as needed.)
b. ${ y|y
eqsquare}$
(use a comma to separate answers as needed.)
c. ${ y|y > square}$
d. ${ y|y < square}$
e. all real numbers
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question 9 of 22

Explanation:

Step1: Analyze the exponential term

For any real $x$, $3^x > 0$.

Step2: Scale the exponential term

Multiply by 7: $7\cdot3^x > 7\cdot0$, so $f(x) > 0$.

Step3: Define the range

The range is all positive real numbers, written as $\{y|y > 0\}$.

Answer:

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