Which is the graph of f(x)=1/4(4)x

Mathematics

1 answer:

Dovator [93]3 years ago

8 0

Answer:

Please, see attached picture

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool.

The equation is

f(x) = (1/4)*(4)^(x)

Which is an exponential function, that grows rapidly to infinity as x increases.

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Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3.

jarptica [38.1K]

$\bf f(x)=\cfrac{2x^2-5x+2}{x-3}\impliedby 
\begin{array}{llll}
\textit{now, we can do a quick synthetic}\\
\textit{division, since the divisor is}\\
x-3
\end{array}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrl}
3&&2&-5&2\\
&&&6&3\\
--&&--&--&--\\
&&2&1&\boxed{5}&\leftarrow remainder
\end{array}\\\\
-------------------------------\\\\
\textit{so the quotient is }2x+1\impliedby \textit{oblique asymptote}\implies y=2x+1$