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
How to modify the graphs
From the graph, we have:
[tex]f(x) = x^2 -3[/tex] and [tex]g(x) = -x^2 +2[/tex]
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)
- Shift the function g(x) down by 2 units
- Reflect across the x-axis
- Shift the function g(x) down by 3 units
- Change the equality sign in the function g(x) to greater than
How to identify the solution set
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
Read more about inequalities at:
https://brainly.com/question/25275758
