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f(x) = 4x and g(x) = f Superscript one-half x

A 3-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-sixteenth, one-fourth, 1, 4, 16. The third column is labeled g (x) with entries A, one-half, B, 2, C.

Use the values given in the table and the functions to determine the missing values.

A =



B =



C =

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Answer:

Step-by-step explanation:

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A = 1/4

B= 1

C = 4

What are functions ?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

x = -2

function f(x) = 1/16

function g(x) = A

f(x) = 4 and g(x) = f (1/2)^x (given )

a) to find A

g(x) = f (1/2)^x

substituting the values

g(x) = 1/16 * (1/2)^(-2)

A = 1/16 * 2^2

A = 1/4

b) to find B

x=0

f(x) = 1

b= ?

g(x) = f (1/2)^x

B = 1 * (1/2)^0

B= 1

c) to find C

x= 2

f(x) = 16

C = ?

g(x) = f (1/2)^x

C = 16 * (1/2)^2

C = 4

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