Precalculus Examples

Find the x and y Intercepts y=-|x+10|
Step 1
Find the x-intercepts.
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Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
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Step 1.2.1
Rewrite the equation as .
Step 1.2.2
Divide each term in by and simplify.
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Step 1.2.2.1
Divide each term in by .
Step 1.2.2.2
Simplify the left side.
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Step 1.2.2.2.1
Dividing two negative values results in a positive value.
Step 1.2.2.2.2
Divide by .
Step 1.2.2.3
Simplify the right side.
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Step 1.2.2.3.1
Divide by .
Step 1.2.3
Remove the absolute value term. This creates a on the right side of the equation because .
Step 1.2.4
Plus or minus is .
Step 1.2.5
Subtract from both sides of the equation.
Step 1.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
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Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Simplify .
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Step 2.2.1
Add and .
Step 2.2.2
The absolute value is the distance between a number and zero. The distance between and is .
Step 2.2.3
Multiply by .
Step 2.3
y-intercept(s) in point form.
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4