Compare the functions shown below:
g(x)
f(x) = −3x + 2 cosine function with y intercept at 0, negative 3 h(x) = 4 sin(2x + π) + 3
using complete sentences, explain which function has the greatest y-intercept.

g has y-intercept -3. this was given.

f has y-intercept 2. i found this by plugging in 0 for x.

h has y-intercept 3. i found this by plugging in 0 for x.

the function that has the greatest y-intercept is h.

the function that has the lowest y-intercept is g.

i'm assuming this is what you have for your functions:

g(x) is the cosine function with y-intercept (0,-3)

f(x)=-3x+2

h(x)=4sin(2x+π)+3

step-by-step explanation:

g(x) is the cosine function with y-intercept (0,-3).

so we are given g's y-intercept is -3.

in general, the y-intercept is when the x is 0.

f(x)=-3x+2 has y-intercept with x=0 is obtained by the function.

f(0)=-3x+2

f(0)=-3(0)+2

f(0)=0+2

f(0)=2

so the y-intercept of f(x)=-3x+2 is 2.

h(x)=4sin(2x+π)+3 has y-intercept when x=0 is obtained by the function.

h(0)=4sin(2*0+π)+3

h(0)=4sin(0+π)+3

h(0)=4sin(π)+3

h(0)=4(0)+3

h(0)=0+3

h(0)=3

so the y-intercept of h is 3.

all the graphs have the same value for the y-intercept which is -3.

hope this : )

ntwntwmersgnngenhsmhe