Question

What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3

Answer 1

Answer:

F(x) has the smallest possible y-value

The minimum y-value of g(x) approaches -3

Answer 2

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

Step-by-step 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, ∞)