Writing Exponential Function Equations from Tables

What is the general form of an exponential function?

• y = a / b^x

• y = a - bx

• y = a * b^x

• y = a + bx

In the exponential function y = a * b^x, what does 'a' represent?

• The factor

• The slope

• The y-intercept

• The x-intercept

In the table, if the y-intercept is 2 and the factor is 3, what is the exponential function?

• y = 2 * 3^x

• y = 3 + 2x

• y = 3 * 2^x

• y = 2 + 3x

How do you determine the factor 'b' if it's not immediately obvious?

• Subtract the lower value from the upper value

• Divide the lower value by the upper value

• Divide the upper value by the lower value

• Multiply the lower value by the upper value

If the y-intercept is 10 and the factor is 2, what is the exponential function?

• y = 2 * 10^x

• y = 2 + 10x

• y = 10 * 2^x

• y = 10 + 2x

What indicates that a function is a decay function?

• The y-intercept is negative

• The factor is greater than one

• The factor is between zero and one

• The x-values are negative

In a decay function, if the y-intercept is 72 and the factor is 1/3, what is the exponential function?

• y = 72 - 3x

• y = 72 * 3^x

• y = 72 * (1/3)^x

• y = 72 + 3x

If the y-intercept is 0.1 and the factor is 1/2, what is the exponential function?

• y = 0.1 + 2x

• y = 0.1 * (1/2)^x

• y = 0.1 - 2x

• y = 0.1 * 2^x

How do you find the factor 'b' when dealing with decimals?

• Subtract the lower value from the upper value

• Divide the lower value by the upper value

• Divide the upper value by the lower value

• Multiply the lower value by the upper value

What is the y-intercept in the function y = 0.1 * (1/2)^x?

• 2

• 1/2

• 0.1

• 0.5