Question

Given four functions, which one will have the smallest y-intercept? (1 point)

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 $6.
x g(x)
0 2
1 6
2 10
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

the y-intercept is the value of y when x = 0

for g(x), look at the table and see what the value of g(x) is when x = 0

for h(x) and j(x), plug in x = 0 and see what the function is equal to

f(x) (the one about the savings account) requires a bit more thinking. the independent variable, x, is time, and the dependent variable f(x) is the value of the account. so the y-intercept is the value of the account when x = 0. in other words, when time is 0 (when no time has passed) what's the value of the account?

once you have all four values, see which one is the least.