Exponential vs. Linear Functions Explained

Which of the following best describes an exponential growth function?

• A function that remains constant over time.

• A function that increases by multiplying by a constant factor.

• A function that decreases by subtracting a constant amount.

• A function that increases by adding a constant amount.

In an exponential function, what does the 'B' in the general form y = a * B^x represent?

• The starting value.

• The multiplier.

• The exponent.

• The constant rate of change.

What is the key characteristic of the average rate of change in an exponential function?

• It varies because of repeated multiplication.

• It varies because of repeated addition.

• It is zero.

• It is constant.

What is the general form of an exponential function?

• y = mx + b

• y = a * B^x

• y = a/x

• y = ax^2 + bx + c

Which of the following is NOT a possible representation of a linear function?

• A curve that increases exponentially.

• A vertical line.

• A line with a constant slope.

• A horizontal line.

What is the slope of a linear function if the change in Y is 6 and the change in X is 2?

• 6

• 3

• 2

• 1

In the equation y = 3x + 5, what does the number 5 represent?

• The y-intercept

• The slope

• The exponent

• The multiplier

How can you identify a linear function from a table of values?

• By checking if the X-values increase or decrease by a constant amount.

• By checking if the Y-values increase or decrease by a constant amount.

• By checking if the X-values are multiplied by a constant factor.

• By checking if the Y-values are multiplied by a constant factor.

Which of the following situations represents an exponential function?

• A cab company charges two dollars and fifty cents initially and three dollars per mile.

• A car depreciates fifteen percent per year.

• A gym charges a membership fee of ten dollars down and ten dollars per month.

• A restaurant plate earns 12.50 per hour.

If a table shows that the Y-values are repeatedly multiplied by 1.25, what type of function does it represent?

• Linear

• Constant

• Quadratic

• Exponential