Linear vs Exponential Challenge

Which of the following equations represents a linear function?

• y = 2^x

• y = 3x + 4

• y = 100(0.5)^x

• y = x^2

If a function has a constant rate of change, what type of function is it?

• Linear

• Exponential

• Quadratic

• Logarithmic

Which of the following equations represents an exponential function?

• y = 5x + 1

• y = x/2

• y = (1/3)^x

• y = x^3

What is the defining characteristic of an exponential function's graph?

• It is a straight line.

• It curves upward or downward at a constant rate.

• It increases or decreases by the same factor over equal intervals.

• It is a parabola.

Which of the following is not a property of a linear function?

• It has a constant slope.

• It forms a straight line when graphed.

• Its graph passes through the origin if there is no y-intercept.

• Its rate of change increases or decreases over time.

Identify the exponential function from the list below.

• y = 7x - 2

• y = 2x^2 + 3

• y = (4/5)^x

• y = 9

What is the slope of the linear function y = 6x + 2?

• 2

• 6

• 8

• 0

Which of the following functions will have a graph that is a straight line?

• y = 2^(x+1)

• y = 3x

• y = e^x

• y = log(x)

If a function's output values double for every increase in the input value by one, what type of function is it?

• Linear

• Exponential

• Quadratic

• Cubic

Which of the following is an example of a linear function?

• y = 10^x

• y = x + 5

• y = 3^x

• y = x^2 + 1