Question

What can you say about the y-values of the two functions and ?A.f(x) and g(x) have equivalent maximum y-values.B.f(x) has the largest possible y-value.C.The maximum y-value of f(x) approaches 2.D.g(x) has the largest possible y-value.

Answer 1

Given the functions:

`\begin{gathered} f(x)=-5^x+2 \\ \\ g(x)=-5x^2+2 \end{gathered}`

Let's compare the y-values of the two functions.

The y-values of a function represents the range of the function.

Thus, we have the following:

• y-values of f(x):

The range of f(x) = -5ˣ + 2 will be all real numbers less than 2.

This is because the maximum y-value here approaches 2.

• y-values of g(x):

The range of g(x) will be all real numbers less than or equal to 2.

Therefore, we have the statement:

The maximum y-value of f(x) approaches 2 while the maximum y-value of g(x) is 2.

Therefore, we can say the correct statements are:

• The maximum y-value of f(x) approaches 2.

,

• g(x) has the largest possible y-value.

ANSWER:

• The maximum y-value of f(x) approaches 2.

,

• g(x) has the largest possible y-value.