Question

What can you say about the y-values of the two functions
`f(x) = 3^x-3` and =
`g(x) = 7x^2-3`? Check all that apply.

A. The minimum y-value of f(x) is -3.
B. g(X) has the smallest possible y-value.
C. f(X) has the smallest possible y-value.
D. The minimum y-value of g(x) is -3

Answer 1

Answer :B and D

explanation: that’s correct

Answer 2

a) The minimum y-value of f(x) is -3

d) The minimum y-value of g(x) is -3

Explanation:

Given in the question that,

f(x) = 3
`^(x)`-3

g(x) = 7x² - 3

A)

At large negative exponents, the value approaches to zero

y =
`3^(-100)-3=-3`

y =
`3^(-1000)-3=-3`

y =
`3^(-10000)-3=-3`

B)

Minimum y-value of g(x) will be when x = 0

y = 7x² - 3

y = 7(0) - 3

y = -3