Algebra Examples

f (x) = {\begin{cases} - x & x < 0 \\ x & x \geq 0 \end{cases}

$f (x) = {\begin{cases} - x & x < 0 \\ x & x \geq 0 \end{cases}$

Step 1

The range is the set of all valid

y

$y$ values. Use the graph to find the range.

(0, \infty)

$(0, \infty)$

Step 2

f (x) = {\begin{matrix} - x & if & x < 0 \\ x & if & x \geq 0 \end{matrix}

$f (x) = {\begin{matrix} - x & if & x < 0 \\ x & if & x \geq 0 \end{matrix}$

(

)

[

]

√



≥

















≤















∩

∪







∞













[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$