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PLS HELP ASAP !!!!!!!!!!3
Compare the functions shown below:
f(x) = 7x + 3(x) = h(x) 2 sin(3x + π) − 1 Using complete sentences, explain which function has the greatest y-intercept.

PLS HELP ASAP 3 Compare the functions shown below fx 7x 3x hx 2 sin3x π 1 Using complete sentences explain which function has the greatest yintercept class=

Respuesta :

willpooleiii10

Answer:

f(x) has the greatest y-intercept

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = 7x + 3

- The function g(x) is tangent function with y-intercept at (0 , 2)

- h(x) = 2 sin(3x + π) - 1

* Lets explain how to find the y-intercept

- The y-intercept means the intersection of the graph of the

 function with the y- axis

- Any point on the y-axis has x-coordinate = 0, so to find the y-intercept

of any function substitute x in the function by zero

∵ f(x) = 7x + 3

∵ x = 0

∴ f(x) = 3

∴ The y-intercept of f(x) is 3

∵ g(x) has y-intercept at point (0 , 2)

∴ The y-intercept of g(x) is 2

∵ h(x) = 2 sin(3x + π) - 1

∵ x = 0

∴ h(x) = 2 sin(3 × 0 + π) - 1

∴ h(x) = 2 sin(π) - 1

∵ sin(π) = 0

∴ h(x) = 2 (0) - 1 = 0 - 1 = -1

∴ The y-intercept of h(x) is -1

∵ 3 > 2 and 3 > -1

∴ f(x) has the greatest y-intercept

ashishdwivedilVT

The function f(x) has the greatest y-intercept i.e. 3.

Given functions are:

[tex]f(x)=7x+3\\[/tex]

[tex]h(x)=2Sin(3x+\pi )-1[/tex]

What is the y-intercept?

The y-intercept is the point on the y-axis at which the graph intersects.

We know that on the y-axis, the x-coordinate is zero.

So, by putting x=0 in the function we can get the y-intercept.

1)[tex]f(x)=7x+3\\[/tex]

[tex]f(0)=3[/tex]

So, the y-intercept of f(x) is 3.

2)From the graph we can say the y-intercept of g(x) is 2.

3)[tex]h(x)=2Sin(3x+\pi )-1[/tex]

[tex]h(0)=2Sin\pi -1[/tex]

[tex]h(0)=-1[/tex]

So, the y-intercept of h(x) is -1.

Hence, function f(x) has the greatest y-intercept i.e. 3.

To get more about functions visit:

https://brainly.com/question/2833285

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