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What can you say about the y-values of the two functions f(X)=-5^x+2 and g(X)=-5x^2+2? Check all that apply.

A. g(X) has the larger possible y value
B. The maximum y value of f(X) approaches at 2
C. f(X) and g(X) have equivalent maximum values.
D. f(X) has the largest possible value

Respuesta :

Answer:

Option A and B are correct.

Step-by-step explanation:

We can get the values through the graph of the two functions given:

[tex]f(x)=-5^x+2[/tex] and [tex]g(x)=-5x^2+2[/tex]

You can look at the graph in the attachment

The value of g(x) has larger possible y value

Hence, option A is correct.

The maximum y value of f(x) approaches at 2

Hence, option B is correct.

Option C and D are incorrect.

In graph f(x) is f(x)

And g(x)=y.

Ver imagen flightbath
facundo3141592

g(x) has a largest maximum than f(x), so the correct option is A, and the maximum of f(x) approache 2, so statement B is also true.

What can be said about the y-values of the two given functions?

Here we have the two functions:

[tex]f(x) = -5^x + 2[/tex]

[tex]g(x) = -5x^2 + 2[/tex]

f(x) is exponential and g(x) is quadratic.

Now, if we evaluate g(x) in x = 0, the maximum, we get:

[tex]g(0) = -5*0^2 +2 = 2[/tex]

For the exponential function, the maximum is on the limit of x ⇒ -∞, where the first term becomes zero, so the maximum tends to 2.

(But never reachs 2, so it is an upper bound, not a maximum).

Then the correct option is A and also B.

If you want to learn more about functions:

https://brainly.com/question/1600302

#SPJ2

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