Homework question #3

Question

Determine the y - intercept of the exponential function g(x) = 1/2 (10)^x

a) 10

b) 0

c) 5

d) 1/2

Answer 1

Hello Jin! Let me make this simple!

To start with, recall that the y-intercept of any function is the value of function f(0) (basically the value of f(x) when x = 0)!

Using this information, g(0) = (1/2) * (10) ^ (0)

Mathematics state that a positive number to the exponent 0 is always equal to 1.

In other words, (number) ^ (0) = 1.

Therefore, 10 ^ 0 = 1.

g(0) = (1/2) * (10) ^ (0) = (1/2) * 1 = 1/2 (D) <<<<< (ANSWER) Hope this was of great assistance to you!