Question

Please help me run step by step on solving this as I’m reallyConfused

Answer 1

Given:

The graph of the function is given.

To find:

The correct function.

Step-by-step explanation:

Graph A:

Since the end behaviours are,

So, the function is,

`y=2^x`

Graph B:

Since the end behaviours are,

`A\mathrm{s}\:x\to\:+\infty\:,\:f\left(x\right)\to\:-\infty`

So, the function is,

`y=\log_{(1)/(2)}x`

Graph C:

Since the end behaviours are,

`\begin{gathered} A\mathrm{s}\:x\to\:+\infty\:,\:f\left(x\right)\to\:0 \\ A\mathrm{s}\:x\to\:-\infty\:,\:f\left(x\right)\to\:+\infty \end{gathered}`

So, the function is,

`y=((1)/(2))^x`

Graph D:

Since the end behaviours are,

`A\mathrm{s}\:x\to\:+\infty\:,\:f\left(x\right)\to\:+\infty\:`

So, the function is,

`y=\log_2x`