Answer
$f(-1.5) \approx 0.089$
$f(\sqrt 2) \approx 9.739$
$f(2.5) \approx 55.902$
Work Step by Step
$Use$ $a$ $calculator$ $to$ $find$ $the$ $indicated$ $values$ $of$ $the$ $exponential$ $function,$ $rounded$ $to$ $three$ $decimal$ $places:$
$f(x) = 5^x; f(-1.5), f(\sqrt 2), f(2.5)$
a.) $f(x) = 5^x; f(-1.5)$
Plug in -1.5 for x
$$f(-1.5) = 5^{-1.5}$$
Use a calculator to evaluate
$$f(-1.5) = 0.0894427190999916$$
Round to 3 decimal places
$$f(-1.5) \approx 0.089$$
b.)$f(x) = 5^x; f(\sqrt2)$
Plug in $\sqrt 2$ for x
$$f(\sqrt 2) = 5^{\sqrt2}$$
Use a calculator to evaluate
$$f(\sqrt 2) = 9.7385177423354203$$
Round to 3 decimal places
$$f(\sqrt 2) \approx 9.739$$
c.)$f(x) = 5^x; f(2.5)$
Plug in 2.5 for x
$$f(2.5) = 5^{2.5}$$
Use a calculator to evaluate
$$f(2.5) = 55.9016994374947424$$
Round to 3 decimal places
$$f(2.5) \approx 55.902$$
