Question

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

A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.

x g(x) <--- B
1 6
2 8
3 12

C. The function h of x equals 4 to the x power, plus 3

D. j(x) = 10(2)x

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.