Consider the function f(x) = 5x + 7. which statement must be true? a) f(1) ? f(3) = f(3) ? f(1) b) f(1) ? f(3) = f(5) ? f(3) c) f(1) ? f(3) = f(3) ? f(5) d) f(1) ? f(3) = f(? 1) ? f(? 3)

Option C is correct

Step-by-step explanation:

Consider the function:

At x = 1

⇒f(1) = 12

At x = 3

⇒f(3) = 22

At x = 5

⇒f(5) = 32

At x = -1

⇒f(-1) = 2

At x = -3

⇒f(-3) = -8

A.

⇒

⇒

Option A is incorrect.

B.

⇒

⇒

Option B is incorrect.

C.

⇒

⇒

Option C is Correct.

D.

⇒

⇒

Option D is incorrect.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.