Find the Domain and Range f(x)=-2(x+3)^2-1

$f (x) = - 2 {(x + 3)}^{2} - 1$

Step 1

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 2

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

Interval Notation:

$(- \infty, - 1]$

Set-Builder Notation:

${y | y \leq - 1}$

Step 3

Determine the domain and range.

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

Range: $(- \infty, - 1], {y | y \leq - 1}$

Step 4

Find the Domain and Range f(x)=-2(x+3)^2-1

Related Questions

Support LCMGCF.com by disabling your adblocker.