Chapter 4.1, Problem 3GP

To determine

To plot: The graph of the given function.

Answer to Problem 3GP

The range and domain are given below.

Explanation of Solution

Given:

The given function is:

  $f\left(x\right)=4x^2-24x+11\dots \left(1\right)$

The graph of the function is given as:

  

The above graph is the graph of parabola, so the domain is all real numbers and as parabola is opening upwards, so range is $y\ge k\left[\text{where (h,k) is the vertex}\right]$ .

So the range and domain is given as:

  $\begin{array}{c}\text{Domain}=\left(x:x\text{ is a real number}\right)\\ \text{Range}=\left(y:y\ge -25\right)\end{array}$

Therefore, the range and domain are given above.