Given the domain and range of a function, how do i write the equation for it?
in Algebra 1 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The first thing to go for is slope. Is there a consistent slope? To find out, take matching pairs of x and y values. The slope, if there is a consistent one, is the difference between the y values divided by the difference of the matching x values. (14-8)/(6-4), (20-14)/(8-6), (32-20)/(12-8). Each of these fractions gives the number 3 (6/2, 6/2, 12/4). So the slope is 3. The linear equation is y=3x+b, where b is the y intercept and 3 is the slope. To find b we simply put in one x and matching y value: let's go for the smallest when x=4, y=8. 8=3*4+b. So b=8-12=-4. The equation becomes y=3x-4. Let's see if other values fit. What is y when x is 8? y=24-4=20, which matches the given data. The domain of the function given the data is x between 4 and 12 and the range (y) is between 8 and 32.

by Top Rated User (1.2m points)

Related questions

2 answers
asked Jun 9, 2020 by donnie58744 Level 1 User (120 points) | 1.8k views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
87,516 questions
100,344 answers
2,420 comments
764,262 users