Question
What is the value of the y-intercept of the graph of f(x) = 10.5(3.6)^x?
A: 3.6
B: 30.6
C: 10.5
D: 0
A: 3.6
B: 30.6
C: 10.5
D: 0
Answers
GPT-4o mini
To find the y-intercept of the graph of the function \( f(x) = 10.5(3.6)^x \), we need to evaluate the function at \( x = 0 \).
Substituting \( x = 0 \):
\[
f(0) = 10.5(3.6)^0
\]
Since \( (3.6)^0 = 1 \):
\[
f(0) = 10.5 \times 1 = 10.5
\]
Therefore, the value of the y-intercept is \( 10.5 \).
The correct answer is \( C: 10.5 \).
Substituting \( x = 0 \):
\[
f(0) = 10.5(3.6)^0
\]
Since \( (3.6)^0 = 1 \):
\[
f(0) = 10.5 \times 1 = 10.5
\]
Therefore, the value of the y-intercept is \( 10.5 \).
The correct answer is \( C: 10.5 \).