Find the Domain and Range y+x^2=6

$y + x^{2} = 6$

Step 1

Subtract $x^{2}$ from both sides of the equation.

$y = 6 - x^{2}$

Step 2

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:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3

The range is the set of all valid $y$ values. Use the graph to find the range.

Interval Notation:

$(- \infty, 6]$

Set-Builder Notation:

${y | y \leq 6}$

Step 4

Determine the domain and range.

Domain: $(- \infty, \infty), {x | x \in ℝ}$

Range: $(- \infty, 6], {y | y \leq 6}$

Step 5

Find the Domain and Range y+x^2=6

Related Questions

Support LCMGCF.com by disabling your adblocker.