Question

What can you say about the y-values of the two functions ula1" title="f(x) = 3^x-3" alt="f(x) = 3^x-3" align="absmiddle" class="latex-formula"> 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:

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

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

Step-by-step 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