The table shown ies values Determine 96 l6 32 Determine SC c

The table shown ies values Determine 96) l6 32 Determine S)C comtains the points (,12) ani (2, 48). Fini a forma fo S«

Solution

1)

As x increases by 1, f(x) increases by 3
So, this is LINEAR

Slope = 3
and y-int = 5 from the table

So, f(x) = mx + b

becomes

f(x) = 3x + 5 -----> ANSWER

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2)

g(x) = a(b)^x

Using (0,1/4) :
1/4 = a*(b)^0
a = 1/4

So, we have
g(x) = (1/4) * (b)^x

Using point (1,1/8) :
1/8 = (1/4) * b^1

b = 1/2

So, we have :
g(x) = (1/4) * (1/2)^x

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3)
f(x) = cb^x

Using (1,12) :
12 = c(b)^1
bc = 12

Using (2,48) :
48 = c(b)^2

Using bc = 12
b^2c = 48

Dividing :
we get b = 4

And c = 3

So, we have :

f(x) = 3(4)^x