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

1 answer

To find the y-intercept of the function \( f(x) = 10.5(3.6)^{x} \), we need to evaluate the function when \( x = 0 \):

\[ f(0) = 10.5(3.6)^{0} \]

Since any non-zero number raised to the power of 0 is 1:

\[ f(0) = 10.5 \cdot 1 = 10.5 \]

Therefore, the value of the y-intercept is \( 10.5 \).

The correct answer is:

c. 10.5