Question

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

Answer 1

i)D:
`x\in R`

ii)R:
`y\ge0`

iii) Y-int:(0,0)

Explanation:

i) The given absolute value function is;

`f(x)=3|x|`.

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

The domain is all real numbers.

ii) The range is all y-values that will make x defined.

The given function has vertex at the origin, (0,0) and opens upwards.

This implies that, the minimum y-value is 0.

The range is
`y\ge0`

iii) To find the y-intercept substitute x=0 in to the function.

`f(x)=3|0|=0`.

The y-intercept is (0,0)

See attachment for graph.