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docker41 [41]
3 years ago
13

Classify each function shown in the tables below as either linear or exponential.

Mathematics
2 answers:
artcher [175]3 years ago
4 0
A is linear  ( the graph would be a line with slope 3) 
Note that as x increases by 2 y increases by 6.


laiz [17]3 years ago
3 0

Answer:

Function 1 is linear and Function 2 is exponential.

Step-by-step explanation:

Function 1:

x       y

-3     0  

-1      6  

1       12  

3       18

Calculate the slope

Formula of slope :m = \frac{y_2-y_1}{x_2-x_1}

(x_1,y_1)=(-3,0)

(x_2,y_2)=(-1,6)

Substitute the values in the formula

m = \frac{6-0}{-1-(-3)}

m = \frac{6}{2}

m = 3

Now using another two points

(x_1,y_1)=(1,12)

(x_2,y_2)=(3,18)

Substitute the values in the formula

m = \frac{18-12}{3-1}

m = \frac{6}{2}

m = 3

Function 2:

x      y

1      13  

2     6.5  

3     3.25  

4     1.625

Calculate the slope

Formula of slope :m = \frac{y_2-y_1}{x_2-x_1}

(x_1,y_1)=(1,13)

(x_2,y_2)=(2,6.5)

Substitute the values in the formula

m = \frac{6.5-13}{2-1}

m = \frac{-6.5}{2}

m = -3.5

Now using another two points

(x_1,y_1)=(3,2.5)

(x_2,y_2)=(4,1.625)

Substitute the values in the formula

m = \frac{1.625-2.5}{4-3}

m = \frac{-0.875}{1}

m = -0.875

In Function 1 slope remains same with distinct points.

In Function 2 Slope varies with distinct points

Thus Function 1 is linear and Function 2 is exponential.

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