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

i)D:

ii)R:

iii) Y-int:(0,4)

Step-by-step explanation:

i) The given absolute value function is;

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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, (3,1) and opens upwards.

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

The range is

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

.

.

.

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The y-intercept is (0,4)

See attachment for graph.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: