Question
What is the value of the y-intercept of the graph of "f" ( "x" ) equals 9.5 ( 2.6 ) Superscript, "x" , Baselinef(x)=9.5(2.6)x ?
Answers
GPT-4o mini
To find the y-intercept of the function \( f(x) = 9.5(2.6)^x \), we evaluate the function at \( x = 0 \).
The y-intercept occurs where \( x = 0 \):
\[
f(0) = 9.5(2.6)^0
\]
Since any number raised to the power of 0 is 1:
\[
f(0) = 9.5 \times 1 = 9.5
\]
Thus, the value of the y-intercept of the graph of \( f(x) \) is **9.5**.
The y-intercept occurs where \( x = 0 \):
\[
f(0) = 9.5(2.6)^0
\]
Since any number raised to the power of 0 is 1:
\[
f(0) = 9.5 \times 1 = 9.5
\]
Thus, the value of the y-intercept of the graph of \( f(x) \) is **9.5**.