5.7k views
2 votes
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

User Aitana
by
6.7k points

2 Answers

0 votes
C, just consider when x=0,find the y
User Patrick Yan
by
5.7k points
3 votes

Answer:

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.

User Hike Nalbandyan
by
6.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.