Question

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

Answer 1

C, just consider when x=0,find the y

Answer 2

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

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

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

Hope this will helpful.

Thank you.