The best description of the maximums of the functions is b. The functions g and h have the same maximum of 2.
How to describes the maximums of these two functions?
From the question, we have the following parameters that can be used in our computation:
h(x) = -x² + 4x - 2
Differentiate the function and set it to 0
-2x + 4 = 0
This gives
2x = 4
x = 2
Substitute 2 for x in the function to calculate the maximum of the function
Max h(x) = -(2)² + 4 * 2 - 2
Max h(x) = 2
From the graph, we have
Max g(x) = 2
This means that the functions g and h have the same maximum of 2.
Question
One quadratic function has the formula h(x) = -x 2 + 4x - 2. Another quadratic function, g(x), has the graph shown below
Which option below best describes the maximums of these two functions?
- Functions g and h have the same maximum of -2.
- Functions g and h have the same maximum of 2.
- Function h has the greater maximum of -2.
- Function g has the greater maximum of 2.