Chapter 9.2, Problem 65E

To determine

To determine whether the statement is always, sometimes or never true.

Answer to Problem 65E

Never true

Explanation of Solution

Given information:

The graph of $a{x}^2+c$ has more than two x -intercept when $a\ne 0$

The expression $a{x}^2+c$ is sometimes true

Reason

  $a{x}^2$ is quadratic term it tell about fatness of the graph and negative a means down direction

It not tell about x -intercept

c is constant term x -intercept depend upon it

when $c>0$

Then two x- intercepts

Quadratic equation having not more than two x -intercept

It is never true.