Question

The table shows the outputs y for different inputs x: Input (x) 3 4 5 6 Output (y) 3 4 5 6 Part A: Do the data in this table represent a function? Justify your answer. (3 points) Part B: Compare the data in the table with the relation f(x) = 2x + 16. Which relation has a greater value when x = 6? (2 points) Part C: Using the relation in Part B, what is the value of x if f(x) = 40? (5 points)

Answer 1

The answer:

just look at the attached file for finding explanation

Answer 2

copy and paste this

part A) x: input

(x) 3456

output (y)

(y) 3456

f is called a function if each element x of a has at most one element y of F

f(3)=3,f(4)=, f(5)=5 and f(6)=6

each input has only unique output so f is exactly a function

part B) f(x)=2x + 16, when x+6, f(6)=12+16=28

part C) to find x we must equalize 2x+16 with 40=

2x+16=40-16=24, and x=24/2=2