Question

Am I right? Help.


Functions f(x) and g(x) are described as follows:

f(x) = -4x2 + 5

Answer 1

Which statement best compares the maximum value of the two functions?
It is equal for both functions.
It is 3 units higher for f(x) than g(x).
It is 3 units lower for f(x) than g(x).
It is 4 units lower for f(x) than g(x).

Answer 2

Is it C? @mathmath333

Answer 3

wait

Answer 4

Okay.

Answer 5

I'm just going to put C. :[

Answer 6

the max value of \(\large g(x)_{max}=8\) clearly from table
now for
\(\large \begin{align} \color{black}{f(x)_{max}\hspace{.33em}\\~\\
f(x)=-4x^2+5\hspace{.33em}\\~\\
f'(x)=-8x\hspace{.33em}\\~\\
0=-8x\hspace{.33em}\\~\\
x=0\hspace{.33em}\\~\\
\normalsize \text{so} \hspace{.33em}\\~\\
f(x)_{max}=-4(0)^2+5\hspace{.33em}\\~\\
f(x)_{max}=5\hspace{.33em}\\~\\
}\end{align}\)

compare \(\large f(x)_{max}\) and \(\large g(x)_{max}\)

Answer 7

:D I got it right. :]

Answer 8

yup