Question

Which of the following functions has the greatest y-intercept?

Answer 1

The y intercept  occurs when x = 0 so in the case of the first function  it is  y = 3

g(x)  = 3 cos 2x + 1

when x = 0  g(x)  = 3 cos 0 + 1  = 3*1 + 1 = 4

so the answer is  g(x)

Answer 2

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  

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.