Function Concepts Worksheets Grade 8

1. Is the relation {(3, 7), (5, 9), (3, 11), (7, 13)} a function?
2. Noah is collecting data on how many hours each of his classmates spends on homework per week. He records the following ordered pairs, where the first number is the student's ID and the second number is the hours spent: {(101, 6), (102, 11), (103, 6), (104, 16), (105, 11)}. Does this relation represent a function? Explain why or why not.
3. Aroha draws a mapping diagram on her whiteboard. The domain (inputs) contains the numbers 3, 5, 7, and 9. The range (outputs) contains the numbers 9, 15, 21, 27, and 33. She draws arrows as follows: - From 3 to 9 - From 5 to 15 - From 7 to 21 - From 9 to 27 - From 9 to 33 Is this relation a function? Explain why or why not.

…and 5 more problems

1. Is the relation {(9, 12), (11, 15), (9, 18), (13, 21)} a function?
2. Isabella is collecting data for her science project on the relationship between the number of hours of sunlight a plant receives each day and the number of flowers it produces. She records the following ordered pairs, where the first number is hours of sunlight and the second number is the number of flowers: (4, 7), (5, 9), (4, 8), (6, 11), (5, 9). Determine whether this set of ordered pairs represents a function. Explain why or why not.
3. A scientist is studying bacterial growth. The number of bacteria after t hours is given by the function f(t) = 2.5 × 10³ × 4^t. How many bacteria were present at the start of the experiment (when t = 0)?

…and 5 more problems

1. Is the relation {(0, 5), (5, 10), (10, 15), (5, 20)} a function?
2. Emma is tracking the growth of her sunflower plant. She notices that the height increases by 2.5 inches each week. After 4 weeks, the plant is 18 inches tall. Write a linear function in the form h(w) = mw + b that represents the height of the sunflower after w weeks, where h is the height in inches.
3. Olivia is organizing a school science fair. She records the number of projects submitted by each grade level. She notices that the number of projects, p, is related to the grade level, g, by the rule p = 3g - 1. She then lists the following ordered pairs to represent this relation: (1, 2), (2, 5), (3, 8), (4, 11), (5, 14). Is this relation a function? Explain why or why not.

…and 4 more problems