Chapter 1.1, Problem 44E

To determine

To identify: The function family and then to describe the domain and range.

Answer to Problem 44E

  $f$ belongs to family of quadratic functions, its domain is all real numbers and range is $y\le 6$ .

Explanation of Solution

Given information: Function is $f(x)=-2x^2+6$ .

Calculation:

  $f$ is a quadratic function.

Domain: All real numbers

Range: $y\le 6$

Above stated answers match with graphing calculator results,

Thus, $f$ belongs to family of quadratic functions, its domain is all real numbers and range is $y\le 6$ .