Question

Someone please help explain this to me !

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?

Answer 1

for a, you need to understand the definition of a function. for a function, each input has a single output.

for part b, compare the values at x=7

for c, you have\( f(x) = 2x+13\\
75=f(x)=2x+13\\
75=2x+13\\
62=2x\\
x=31\)

Answer 2

ohhh okay thank you !

Answer 3

do you need the other 2 more fully explained?

Answer 4

Only part b how do i compare the values of them? i don't really understand that part

Answer 5

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

to find the value at x=7 for f(x), we just plug in x=7 in the relation
\(f(7)=2(7)+13=14+13=27\)

to find the value at x=7 for the table, just look at the equivalent y value where x=7

Answer 6

equivalent wasn't the right word for that.