Functions from Tables

Write the function for the following table:

• f(x)= 1(2)^x

• f(x)= 2(1)^x

• f(x) = 2x+1

• f(x)= x+2

Write the function for the following table:

• f(x) = 1(3)^x

• f(x) = 3(3)^x

• f(x) = 3x+3

• f(x)= 6x+1

Write the function for the following table:

• f(x) = 5x + .08

• f(x)= 5x + 2

• f(x) = .08(5)^x

• f(x)= 2(5)^x

Write the function for the following table:

• f(x)= 6x-2

• f(x)= 10x+2

• f(x)= 2(6)^x

• f(x)= 6(2)^x

Write the function for the following table:

• f(x)= 1/3x + 27

• f(x)= 3x+27

• f(x)= 243(3)^x

• f(x) = 27(1/3)^x

Is the table linear, exponential or neither?

• Linear
• Exponential
• Neither

Which type of function is given by the table?

• Linear
• Exponential
• Quadratic
• Piecewise

Which type of function is given by the table?

• Linear
• Quadratic
• Exponential
• Piecewise

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

If a table's pattern is that the f(x) values are being divided by 3, what is the common ratio?

• 3
• -3
• 1/3
• -1/3