Question

PLEASE HELP

What can you say about the y-values of the two functions f(x) = 3x2 -3 and
g(x) = 2* -3?
A. f(x) and g(x) have equivalent minimum y-values.
B. f(x) has the smallest possible y-value.
C. The minimum y-value of g(x) approaches -3.
D. g(x) has the smallest possible y-value.

Answer 1

g(x) has the smallest possible y-value of -3

Explanation:

f(x) = 3ˣ - 3 This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.Range: y > 3 (-3, ∞) g(x) = 7x² - 3 ⇒ g(x) = 7(x - 0)² - 3 This is a parabola with vertex at (0, -3) Range: y ≥ 3 [-3, ∞)