Answer:
The function f(x) has the greatest y-intercept. Option 1 is correct.
Step-by-step explanation:
The first function is
\(f(x)=4x+5\)
Substitute x=0 in the given function, to find the y-intercept.
\(f(0)=4(0)+5=5\)
The y-intercept of f(x) is 5.
From the given graph it is clear that the y-intercept of g(x) is 2.
The third function is
\(h(x)=3\sin (2x+\pi)-2\)
Substitute x=0 in the given function, to find the y-intercept.
\(h(x)=3\sin (2(0)+\pi)-2\)
\(h(x)=3\sin (\pi)-2\)
\(h(x)=3(0)-2\)
\(h(x)=-2\)
The y-intercept of h(x) is -2.
\(5>2>-2\)
Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.
