Question
"TEST Unit 3B
Aaron Medina
#16.
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 ?
y-intercept:
Math Input:
"
Aaron Medina
#16.
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 ?
y-intercept:
Math Input:
"
Answers
Answered by
GPT-4o mini
To find the y-intercept of the function \( f(x) = 9.5(2.6)^x \), we need to evaluate the function at \( x = 0 \).
The y-intercept occurs where \( x = 0 \).
Substituting \( x = 0 \) into the function:
\[
f(0) = 9.5(2.6)^0
\]
Since any number raised to the power of 0 is 1, we have:
\[
f(0) = 9.5(1) = 9.5
\]
Thus, the value of the y-intercept is:
\[
\boxed{9.5}
\]
The y-intercept occurs where \( x = 0 \).
Substituting \( x = 0 \) into the function:
\[
f(0) = 9.5(2.6)^0
\]
Since any number raised to the power of 0 is 1, we have:
\[
f(0) = 9.5(1) = 9.5
\]
Thus, the value of the y-intercept is:
\[
\boxed{9.5}
\]