Which of the following functions has the greatest y-intercept?
f(x)
x: -3, -2, -1, 0, 1, 2
y: 15, -8, -1, 3, 6, 10

g(x) = –4 sin(5x) + 3

options:
a. f(x)
b. g(x)
c. f(x) and g(x) have the same y-intercept
d. not enough information

C. f(x) and g(x) have the same y-intercept

Step-by-step explanation:

To find the y-intercept, we need to plug in x = 0

f(x) is given in table values.

When x = 0, y = 3 from the table values.

Therefore, y-intercept of f(x) = 3

g(x) = -4 sin(5x) + 3

Plug in x = 0

y = -4 sin(5.0) + 3

y = -4 sin 0 + 3         [sin 0 = 0]

y = 0 + 3

y = 3

Therefore, y-intercept of g(x) = 3

C. f(x) and g(x) have the same y-intercept

Hope this will helpful.

Thank you.

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step-by-step explanation:

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