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f(x)=100(0.95)^(x)
If the function is graphed in the
xy plane, what is the
y-intercept of the graph?
Choose 1 answer:
(A) 0
(B) 0.95
(C) 95
(D)
100

$f(x)=100(0.95)^{x}$ $\newline$ If the function is graphed in the $x y$ plane, what is the $y$ -intercept of the graph? $\newline$ Choose $1$ answer: $\newline$ (A) $0$ $\newline$ (B) $0$ . $95$ $\newline$ (C) $95$ $\newline$ (D) $100$

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Inverses of csc, sec, and cot

Full solution

Q.

f(x)=100(0.95)^{x}

\newline

If the function is graphed in the

x y

plane, what is the

y

-intercept of the graph?

\newline

Choose

1

answer:

\newline

(A)

0

\newline

(B)

0

.

95

\newline

(C)

95

\newline

(D)

100

Identify y-intercept: Identify the y-intercept of a function. $\newline$ The y-intercept of a function is the value of the function when $x$ equals $0$ . This is found by evaluating the function at $x = 0$ .
Substitute $x = 0$ : Substitute $x = 0$ into the function to find the y-intercept. $f(x) = 100(0.95)^{(x)}$ $f(0) = 100(0.95)^{(0)}$
Calculate function value: Calculate the value of the function at $x = 0$ . $\newline$ $f(0) = 100(0.95)^{0} = 100(1) = 100$

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