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Which function has the greatest y-intercept?

Which Function Has The Greatest Yintercept class=

Sagot :

jclainwizard
looking at the two known equations and the graph i believe is referring to g(x) i believe that f(x)has the largest y intercept because g(x) looks like its at +2 and h(x) is at -2

Answer:

The function f(x) has the greatest y-intercept. Option 1 is correct.

Step-by-step explanation:

The first function is

[tex]f(x)=4x+5[/tex]

Substitute x=0 in the given function, to find the y-intercept.

[tex]f(0)=4(0)+5=5[/tex]

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

[tex]h(x)=3\sin (2x+\pi)-2[/tex]

Substitute x=0 in the given function, to find the y-intercept.

[tex]h(x)=3\sin (2(0)+\pi)-2[/tex]

[tex]h(x)=3\sin (\pi)-2[/tex]

[tex]h(x)=3(0)-2[/tex]

[tex]h(x)=-2[/tex]

The y-intercept of h(x) is -2.

[tex]5>2>-2[/tex]

Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.

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