Question

Given four functions, which one will have the highest y-intercept?

Answer 1

The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.

Given the functions

A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.

B.
x    g(x)
0    6
1    2
2   10

The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.


C. The function h of x equals 4 to the x power, plus 3
When x = 0, $h(x)=4^0+3=1+3=4$
Thus the y-intecept is 4.

D. j(x) = 10(2)^x
when x = 0, $j(x)=10(2)^0=10(1)=10$
Thus, the y-intercept is 10.

Thereforen the function with the highest y-intercept is $j(x)=10(2)^x$ which has a y-intercept of 10.