Answer:
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
<em>0 3 </em>
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.