Exploring Exponential Functions

What is the general form of an exponential function?

• y = a * b^x

• y = a * e^x

• y = mx + b

• y = ax^2 + bx + c

Which of the following indicates an exponential growth factor?

• B is greater than 1

• B is equal to 1

• B is less than 0

• B is between 0 and 1

What is the domain of an exponential function?

• All positive numbers

• All integers

• All negative numbers

• All real numbers

What is the range of an exponential growth function with an asymptote at y = 0?

• y ≤ 0

• y ≥ 0

• y < 0

• y > 0

How do you determine the growth factor from a graph?

• By calculating the ratio of y-values at consecutive x-values

• By identifying the y-intercept

• By finding the x-intercept

• By finding the slope

If an exponential function has a y-intercept of 0.5 and doubles every time, what is the equation?

• y = 2 * x + 0.5

• y = 0.5 * 2^x

• y = 2 * 0.5^x

• y = 0.5 * x^2

How do you find the rate of growth from the growth factor B?

• Subtract 1 from B

• Add 1 to B

• Multiply B by 100

• Divide B by 100

What is the growth rate if B = 1.15?

• 0.15%

• 115%

• 1.15%

• 15%

How do you determine the growth factor from a table of values?

• By finding the difference between consecutive y-values

• By dividing consecutive y-values

• By adding consecutive y-values

• By subtracting consecutive y-values

If a table shows y-values decreasing by a factor of 0.25, what is the equation if the y-intercept is 40?

• y = 40 * x^0.25

• y = 40 * 4^x

• y = 40 * 0.25x

• y = 40 * 0.25^x