Chapter 3.3, Problem 84AYU

To determine

To calculate: Quadratic function.

Answer to Problem 84AYU

The quadratic function is $f\left(x\right)=-\left(x+1\right)\left(x-5\right)$ .

Explanation of Solution

Given information:

  $x$ intercepts are $-1,5$

Range is $(-\infty ,9]$

Concept Used:

Quadratic Function:

  $F\left(x\right)=a{x}^2+bx+c$

Where, $a,b,c$ are constants.

Calculation:

  $f\left(x\right)=-\left(x+1\right)\left(x-5\right)$ has $x$ intercepts $-1,5$ and range is $(-\infty ,9]$

Hence, the function is $f\left(x\right)=-\left(x+1\right)\left(x-5\right)$ .