The table shows the outputs y for different inputs x:

Input

(x)

5 6 7 8

Output

(y)

2 5 8 11

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f (x) = 2x + 13. Which relation has a greater value when x = 7?

Part C: Using the relation in Part B, what is the value of x if f (x) = 75?

Question

Mathematics

Taliyah Hinton

29 January, 13:44

The table shows the outputs y for different inputs x:

Input

(x)

5 6 7 8

Output

(y)

2 5 8 11

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f (x) = 2x + 13. Which relation has a greater value when x = 7?

Part C: Using the relation in Part B, what is the value of x if f (x) = 75?

+3

Answers (1)

Know the Answer?

Bethany Vance · Answer 1

Part A: the data represent a function because for each value of x, there is a unique value of y.

Part B: from the table, when x = 7, y = 8. from the function f (x) = 2x + 13, f (7) = 2 (7) + 13 = 14 + 13 = 27.

Hence f (x) = 2x + 13 has a greater value when x = 7.

Part c: f (x) = 2x + 13 = 75

2x = 75 - 13 = 62

x = 62/2 = 31