Exploring Exponential Functions and Their Equations

What is the general form of an exponential function?

• y = mx + b

• y = a * B^x

• y = a * e^x

• y = ax^2 + bx + c

In the equation y = a * B^x, what does the 'a' represent?

• The growth factor

• The x-intercept

• The y-intercept

• The decay factor

If the B value in an exponential function is between 0 and 1, what does it indicate?

• Linear function

• Growth

• Decay

• Constant function

How do you find the B value from a table of values?

• Subtract the y-values

• Multiply the y-values

• Divide the second y-value by the first y-value

• Add the y-values

What is the domain of most exponential functions?

• All positive numbers

• All negative numbers

• All integers

• All real numbers

What is the range of an exponential function that has an asymptote at y = 0?

• y ≠ 0

• y < 0

• y > 0

• y = 0

In the example problem, what was the y-intercept of the function?

• 3

• 6

• 12

• 0

What is the B value in the function f(x) = 3 * 2^x?

• 0

• 1

• 2

• 3

Why does an exponential graph never touch the x-axis?

• Because it is a quadratic function

• Because it is a linear function

• Because it has a horizontal asymptote

• Because it has a vertical asymptote

What is the range of the function f(x) = 4 * (1/2)^x?

• y > 4

• y < 4

• y > 0

• y < 0