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What is the a-value (or
y-intercept) for the function:
f(x)=800(0.85)^(x) ?
800
0.15

x
0.85

What is the a-value (or $y$ -intercept) for the function: $f(x)=800(0.85)^{x}$ ? $\newline$ $800$ $\newline$ $0$ . $15$ $\newline$ $x$ $\newline$ $0$ . $85$

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Reflections of functions

Full solution

Q. What is the a-value (or

y

-intercept) for the function:

f(x)=800(0.85)^{x}

?

\newline

800

\newline

0

.

15

\newline

x

\newline

0

.

85

Initial Value Explanation: The $a$ -value in an exponential function of the form $f(x) = a(b)^x$ is the initial value when $x = 0$ . This is also the $y$ -intercept of the function.
Find a-Value: To find the a-value for the function $f(x) = 800(0.85)^x$ , we need to evaluate the function at $x = 0$ .
Substitute $x = 0$ : Substitute $x = 0$ into the function to find the y-intercept: $f(0) = 800(0.85)^0$ .
Evaluate $0.85^0$ : Any non-zero number raised to the power of $0$ is $1$ . Therefore, $0.85^0 = 1$ .
Calculate $f(0)$ : Now, calculate $f(0)$ using the property from the previous step: $f(0) = 800 \times 1$ .
Final Result: After the calculation, we find that $f(0) = 800$ . This is the $a$ -value or the $y$ -intercept of the function.

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