Let y 1 x 2 and y 2 2 X (a) Graph y 1 and y 2 in 5, 5 by 2, 10 How many times do you think the two graphs cross (b) Compare the corresponding changes in y 1 and y 2 as x changes from 1 to 2, 2 to 3, and so on How large must x be for the changes in y 2 to overtake the changes in y 1 (c) Solve for x ...

Let y 1 = x 2 and y 2 = 2 X . (a) Graph y 1

Question:

Let y₁ = x² and y₂ = 2^X.
(a) Graph y₁and y₂ in [-5, 5] by [-2, 10]. How many times do you think the two graphs cross?
(b) Compare the corresponding changes in y₁ and y₂ as x changes from 1 to 2, 2 to 3, and so on. How large must x be for the changes in y₂ to overtake the changes in y₁?
(c) Solve for x: x² = 2^X.