Question

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

Answer 1

i)D:
`x\in R`

ii)R:
`y\ge1`

iii) Y-int:(0,4)

Explanation:

i) The given absolute value function is;

`f(x)=|x-3|+1`.

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,

`f(x)=|x-3|+1`.

has vertex at, (3,1) and opens upwards.

This implies that, the minimum y-value is 1.

The range is
`y\ge1`

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

`f(0)=|0-3|+1`.

`f(0)=|-3|+1`.

`f(0)=3+1`.

`f(0)=4`.

The y-intercept is (0,4)

See attachment for graph.