Graph y=|1-x|

Math
Find the absolute value vertex. In this case, the vertex for is .
Tap for more steps…
To find the coordinate of the vertex, set the inside of the absolute value equal to . In this case, .
Solve the equation to find the coordinate for the absolute value vertex.
Tap for more steps…
Subtract from both sides of the equation.
Multiply each term in by
Tap for more steps…
Multiply each term in by .
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Replace the variable with in the expression.
Simplify .
Tap for more steps…
Multiply by .
Subtract from .
The absolute value is the distance between a number and zero. The distance between and is .
The absolute value vertex is .
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
For each value, there is one value. Select few values from the domain. It would be more useful to select the values so that they are around the value of the absolute value vertex.
Tap for more steps…
Substitute the value into . In this case, the point is .
Tap for more steps…
Replace the variable with in the expression.
Simplify the result.
Tap for more steps…
Multiply by .
Add and .
The absolute value is the distance between a number and zero. The distance between and is .
The final answer is .
Substitute the value into . In this case, the point is .
Tap for more steps…
Replace the variable with in the expression.
Simplify the result.
Tap for more steps…
Subtract from .
The absolute value is the distance between a number and zero. The distance between and is .
The final answer is .
Substitute the value into . In this case, the point is .
Tap for more steps…
Replace the variable with in the expression.
Simplify the result.
Tap for more steps…
Multiply by .
Subtract from .
The absolute value is the distance between a number and zero. The distance between and is .
The final answer is .
The absolute value can be graphed using the points around the vertex
Graph y=|1-x|

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top