Which of the following functions has the greatest y-intercept? f(x) x y−3 −14 −2 −6−1 −2 0 3 1 5 2 6 or g(x) = 3 cos(2x) + 1 include explanation

g(x) has greatest y-intercept.

Step-by-step explanation:

We are given a table of values for function f(x) as:

x   y=f(x)

−3−14  

−2  −6

−1     −2  

0       3  

1        5  

2       6

We know that the y-intercept of a function is a point where the x-value is zero.

i.e. the input value is zero.

Hence, after looking at the table of values of the function f(x) we have the y-intercept of the function f(x) is:

y=3

Also we are given function g(x) as:

g(x) = 3 cos(2x) + 1

Hence, we calculate the y-intercept of the function g(x) by taking x=0

on taking x=0 we have:

g(0)=3 cos(0)+1

g(0)=3+1=4

Hence, the y-intercept of function g(x) is 4.

Hence, g(x) has the greatest y-intercept.

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step-by-step explanation:

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.