Find the Range f(x)=-1/2x^2+7x-1

$f (x) = - \frac{1}{2} x^{2} + 7 x - 1$

Step 1

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

Interval Notation:

$(- \infty, \frac{47}{2}]$

Set-Builder Notation:

${y | y \leq \frac{47}{2}}$

Step 2