Question

What is g(x)? (apex algebra 1 semester 2 2019).

Answer 1

Answer:

D. $g(x)=-2^x$

Step-by-step explanation:

We can use a process of elimination in order to easily solve this.

The shape of $g(x)=-|x|$ will be two diagonal lines that meet at (0,0)

$g(x)=-x^2$ Will be an upside down parabola

$g(x)=-x$ Will be a line with a slope of -1.

This means that the answer must be D

Answer 2

Answer:

The correct option is D.

Step-by-step explanation:

From the given graph it is clear that the y-intercept of the function is -1. It means the graph passes through (0,-1).

Check each function, whether the function passes through the point (0,-1) or not. Substitute x=0 it each function to find the y-intercept.

In option A,

$g(x)=|x|$

$g(0)=|0|=0$

The y-intercept of the function is at (0,0).

In option B,

$g(x)=x^2$

$g(0)=0^2=0$

The y-intercept of the function is at (0,0).

In option C,

$g(x)=x$

$g(0)=0$

The y-intercept of the function is at (0,0).

In option D,

$g(x)=-2^x$

$g(0)=-1$

The y-intercept of the function is at (0,-1).

The graph of $g(x)=-2^x$ passes through the point (0,-1).

Therefore the correct option is D.