Finite Math Examples

Find the x and y Intercepts f(x)=-x^2-1
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
Add to both sides of the equation.
Step 1.2.3
Divide each term in by and simplify.
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Step 1.2.3.1
Divide each term in by .
Step 1.2.3.2
Simplify the left side.
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Step 1.2.3.2.1
Dividing two negative values results in a positive value.
Step 1.2.3.2.2
Divide by .
Step 1.2.3.3
Simplify the right side.
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Step 1.2.3.3.1
Divide by .
Step 1.2.4
Take the specified root of both sides of the equation to eliminate the exponent on the left side.
Step 1.2.5
Rewrite as .
Step 1.2.6
The complete solution is the result of both the positive and negative portions of the solution.
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Step 1.2.6.1
First, use the positive value of the to find the first solution.
Step 1.2.6.2
Next, use the negative value of the to find the second solution.
Step 1.2.6.3
The complete solution is the result of both the positive and negative portions of the solution.
Step 1.3
To find the x-intercept(s), substitute in for and solve for .
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
Solve the equation.
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Step 2.2.1
Remove parentheses.
Step 2.2.2
Remove parentheses.
Step 2.2.3
Simplify .
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Step 2.2.3.1
Simplify each term.
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Step 2.2.3.1.1
Raising to any positive power yields .
Step 2.2.3.1.2
Multiply by .
Step 2.2.3.2
Subtract from .
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