Question

Graph each absolute value function. State the domain, range, and y-intercept.

Answer 1

i) D: All real numbers

ii) R:
`\le0`

iii) Y-int:(0,0)

Explanation:

i) The given absolute value function is;

`y=-2|x|`

The absolute value function is defined for all real values of x.

The domain is all real numbers

ii) The range is the values of y that will make x defined.

The given function
`y=-2|x|` has vertex at the origin, (0,0) and it is reflected in the x-axis.

This means the function will open downwards.

The maximum y-value is therefore 0.

The range of the function is
`\yle0`

iii) To find the y-intercept, put x=0 into the function to get;

`y=-2|0|`

`y=-2(0)`

`y=0`

The y-intercept is (0,0) or b=0

See attachment for graph.