Question

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

f(x) g(x) h(x) j(x)


Blake is tracking his


savings account with


an interest rate of 5%


and a original deposit


of $15.


x g(x)


1 6


2 8


3 12


the function h of x equals 4 to the x power, plus 3 j(x) = 10(2)x


f(x)


g(x)


h(x)


j(x)

Answer 1

f(x)

Explanation:

f(x) apparently has an initial value of 15.

g(x) apparently will have an initial value of 6 or less, since g(1) = 6 and it has increasing slope.

h(0) = 4^0 +3 = 3

j(0) = 10·2^0 = 10

The largest initial value among the initial values {15, <6, 3, 10} is 15.

f(x) has the largest y-intercept

_____

The graph shows two ways g(x) can be modeled. One is exponential with an initial value of 4; the other is quadratic with an initial value of 6.