Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the

Question

3 years ago

15

solution set be identin
y < x^2 - 3
y > x^2 + 2

1 answer:

Norma-Jean [14] · Answer 1 · 2022-10-03T15:08:05+03:00

The graphs of f(x) and g(x) are transformed function from the function y = x^2

The set of inequalities do not have a solution

<h3>How to modify the graphs</h3>

From the graph, we have:

$f(x) = x^2 -3$ and $g(x) = -x^2 +2$

To derive y < x^2 - 3, we simply change the equality sign in the function f(x) to less than.

To derive y > x^2 + 2, we perform the following transformation on the function g(x)

<h3>How to identify the solution set</h3>

The inequalities of the graphs become

y < x^2 - 3 and y > x^2 + 2

From the graph of the above inequalities (see attachment), we can see that the curves of the inequalities do not intersect.

Hence, the set of inequalities do not have a solution