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Compare the functions shown below: g(x) f(x) = 4x − 1 tangent function with y intercept at 0, 2 h(x) = cos(x + 2π) Using complete sentences, explain which function has the greatest y-intercept.

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karmagillhouse

Answer:

g(x) has the greatest y-intercept (the graph)

Step-by-step explanation:

The y-intercept for f(x) is -1, we can easily identify it at the end of the function.

The y-intercept for g(x) is 2, we can see that's where it crosses the y-axis.

The y-intercept for h(x) is 1, we can find this by substituting 0 for x in the equation.

h(0) = cos(0+2[tex]\pi[/tex])

h(0) = cos(2[tex]\pi[/tex])

h(0) = cos(360)

h(0) = 1

[tex]\pi[/tex] = 180 when converting degrees to radians, and you can find the cosine of 360 with a calculator.

facundo3141592

The function with the greatest y-intercept is g(x).

How to know which function has the greatest y-intercept?

Here we have the two functions:

  • f(x) = 4x - 1
  • h(x) = cos(x + 2π).
  • g(x) = tangent function with y-intercept at (0,  2)

The y-intercept is the value of the function when we evaluate in x = 0, so the y-intercepts of the given functions are:

f(0) = 4*0 - 1 = -1

h(0) = cos( 0+ 2π) = 1

And for g(x), we know that the y-intercept is at y = 2.

Then we can see that the function g(x) has the greatest y-intercept.

If you want to learn more about y-intercepts, you can read:

https://brainly.com/question/1884491

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