Question

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

Answer 1

The smallest y-intercept would be of the first function. (0, 6)

Since Blake is starting with $6, that is the y-intercept.

For the function, f(x) = 4^x + 3, the y-intercept is 7.
For the last function, f(x) = 10(2)^x , the y-intercept is 10.

6 is the lowest of 6, 7, and 10.

Answer 2

Answer:

The smallest y-intercept is 4 whose function is h(x)

C is correct.

Step-by-step explanation:

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

For function f(x)

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

$y=6(1+0.05)^x$

$y=6(1.05)^x$

$f(x)=6(1.05)^x$

where, y is final amount and x is number of period.

y-intercept of f(x). Put x=0

$f(0)=6$

y-intercept: (0,6)

For function g(x)

  x     :  0      1       2

g(x)   :   6      8     12

Using table, y-intercept of g(x)

g(0)=6

y-intercept: (0,6)

For function h(x)

$h(x)=4^x+3$

For y-intercept of h(x). Put x=0

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

y-intercept: (0,4)

For function j(x)

$j(x)=10(2)^x$

For y-intercept of j(x). Put x=0

$j(0)=10(2)^0=10$

y-intercept: (0,10)

Function    :     f(x)      g(x)       h(x)     j(x)

y-intercept :     6          6           4         10

Hence, The smallest y-intercept is 4 whose function is h(x)