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

The domain is   and its range is

The y-intercept is (0,3).

Step-by-step explanation:

Consider the parent function Its domain is and its range is

The graph of the function is obtained from the graph of parent function by translation 3 units up (see diagram). This translation doesn't change the  domain and will change the range of the function, thus the domain is   and its range is

To find th y-intercept you have to find y at x=0:

Hence, the y-intercept is (0,3).

i)D:

ii)R:

iii) Y-int:(0,3)

Step-by-step explanation:

i) The given absolute value function is;

.

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, (0,3) and opens upwards.

This implies that, the minimum y-value is 3.

The range is

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

.

.

.

The y-intercept is (0,3)

See attachment for graph.