Question

The table represents the function f (x) = 3x – 1. The table represents the function f (x) = 3x – 1. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 2, 4, 8. Column 2 is labeled f (x) with entries a, negative 7, b, c. Use the drop-downs to choose the values of a, b, and c to complete the table.

Answer 1

The value of a= 17.5, b=-14 and c=-28.

Explanation:

What is function?

A function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

Given function:

f (x) = 3x – 1.

Also,

x f(x)

-5 a

-2 7

4 b

8 c

Now, using the proportionality

k = y/x

k = 7 / (-2)

k = -3.5

So, -3.5 = a/ (-5)

-3.5 x (-5) = a

a= 17.5

again, -3.5 = b/4

b= -14

Lastly, -3.5 = c/8

c= -28.

Hence, the value of a= 17.5, b=-14 and c=-28.

Answer 2

a= -16 b=11 c=23

Explanation:

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