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

Graph each absolute value function. State the domain, range, and y-intercept.-example-1

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Answer:

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.

Graph each absolute value function. State the domain, range, and y-intercept.-example-1
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