FROM THE TABLE OF VALUES CHECK THE FUNCTION IS EXPONENTIAL OR LINEAR

Tell whether the table of values represents a linear, or an exponential function.

Problem 1 :

Solution :

To get values of y, we have to subtract 3. So, it is linear function.

Problem 2 :

Solution :

By observing the values of y, 1/18 should be multiplied by 6 to get 1/3

(1/3) ⋅ 6 = 2

2 ⋅ 6 = 12

12 ⋅ 6 = 72

Every time, every values of y is multiplied by 6 to get the next value. So, it is exponential function.

Problem 3 :

Solution :

By observing the values of y, 8 should be divided by 2 to get 4.

8/2 = 4

4/2 = 2

2/2 = 1

1/2 = 0.5

0.5/2 = 0.25

So, it is exponential function.

Problem 4 :

Solution :

To get values of y, we have to subtract 2.

2 - 2 = 0

0 - 2 = -2

-2 - 2 = -4

-4 - 2 = -6

So, it is linear function.

Problem 5 :

Solution :

To get values of y, we have to added 3.

-8 + 3 = -5

-5 + 3 = -2

-2 + 3 = 1

So, it is linear function.

Problem 6 :

Solution :

To get values of y, we have to multiplied 1/2.

3 ⋅ (1/2) = 3/2

(3/2) ⋅ (1/2) = 3/4

(3/4) ⋅ (1/2) = 3/8

So, it is exponential function.

Problem 7 :

Solution :

So, the function is neither.

Problem 8 :

Solution :

To get values of y, we have to added 20.

30 + 20 = 50

50 + 20 = 70

So, it is linear function.

Problem 9 :

Solution :

So, the function is neither.