MATH SOLVE

2 months ago

Q:
# Compare the functions shown below: Which function has the greatest y-intercept? A. f(x) B. g(x) C. h(x) D. All three functions have the same y-intercept

Accepted Solution

A:

The intersection with the y axis occurs when x = 0.

We have then:

For f (x):

[tex]f (0) = -3 (0) - 5 f (0) = 0 - 5 f (0) = - 5[/tex]

For g (x):

We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3

For h (x):

[tex]h (0) = 2cos (2 (0) -\pi) +4 h (0) = 2cos (0-\pi) +4 h (0) = 2cos (-\pi) +4[/tex]

[tex]h (0) = 2 (-1) +4 h (0) = -2 + 4 h (0) = 2[/tex]

Therefore, the graph with the intersection with the largest y axis is h (x)

Answer:

the greatest y-intercept is for:

C. h(x)

We have then:

For f (x):

[tex]f (0) = -3 (0) - 5 f (0) = 0 - 5 f (0) = - 5[/tex]

For g (x):

We can observe in the graph that when x = 0, the value of the function cuts to the y axis in y = -3

For h (x):

[tex]h (0) = 2cos (2 (0) -\pi) +4 h (0) = 2cos (0-\pi) +4 h (0) = 2cos (-\pi) +4[/tex]

[tex]h (0) = 2 (-1) +4 h (0) = -2 + 4 h (0) = 2[/tex]

Therefore, the graph with the intersection with the largest y axis is h (x)

Answer:

the greatest y-intercept is for:

C. h(x)