Question

Consider continuous functions f, g, h, and k. Then complete the statements.
The function that has the least minimum value is function (options) F, H, G, K
The function that has the greatest minimum value is function (options) F, H, G, K
.

Answer 1

It wouldn't let me post the answer. See images for the answer and explanation

Answer 2

The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

What are the minimum values of the functions?

Given:

• Consider continuous functions f, g, h, and k.
• A graph is given in the attached image.

Find:

• The function that has the least minimum value is function.

• the function that has the greatest minimum value is function.

Solution:

From the question, we get;

$h(x) = 2(x-1)^{2}$

⇒ h(x)min = 0

⇒ g(x)min = -5

⇒ f(x)min = -7

⇒ k(x)min = 7

So,  f(x)min < g(x)min < h(x)min <  k(x)min

Therefore, The function that has the least minimum value is function F & the function that has the greatest minimum value is function K.

To learn more about the minimum of functions, refer to:

https://brainly.com/question/9180672

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