WorksheetsExponential Functions
Total questions: 10
Worksheet time: 5mins
What is the general shape of an exponential function?
Perfect circle
Sine wave pattern
Straight line that intersects the x-axis
Curve that starts at a positive value, increases rapidly, and never crosses the x-axis
How does changing the base affect the graph of an exponential function?
Changing the base affects the graph of an exponential function by shifting it horizontally.
Changing the base affects the graph of an exponential function by stretching or compressing it horizontally.
Changing the base affects the graph of an exponential function by rotating it vertically.
Changing the base affects the graph of an exponential function by changing the y-intercept.
Explain how a vertical stretch impacts the graph of an exponential function.
The graph of the exponential function becomes flatter as it moves away from the x-axis.
The graph of the exponential function becomes steeper as it moves away from the x-axis.
The vertical stretch has no impact on the graph of an exponential function.
The graph of the exponential function becomes a straight line.
Describe the effect of a vertical compression on the graph of an exponential function.
The graph becomes narrower.
The graph becomes wider.
The graph shifts to the left.
The graph shifts to the right.
What happens to the graph of an exponential function when there is a horizontal shift to the right?
The graph of an exponential function becomes steeper.
The graph of an exponential function shifts downwards.
The graph of an exponential function remains unchanged.
The graph of an exponential function shifts to the left.
Illustrate the impact of a horizontal shift to the left on the graph of an exponential function.
The graph moves upwards.
The impact of a horizontal shift to the left on the graph of an exponential function is that the graph moves to the right.
The graph becomes steeper.
The graph remains unchanged.
How does a reflection over the x-axis change the graph of an exponential function?
The reflection over the x-axis changes the sign of the function's output.
The reflection over the x-axis changes the function to a linear equation.
The reflection over the x-axis changes the function to a quadratic equation.
The reflection over the x-axis changes the function to a trigonometric function.
Explain the transformation caused by a reflection over the y-axis on the graph of an exponential function.
The reflection over the y-axis shifts the exponential function up or down
The reflection over the y-axis changes the concavity of the exponential function
The reflection over the y-axis results in a mirror image of the original exponential function across the y-axis.
The reflection over the y-axis results in a rotation of the exponential function
Solve the equation 2^x = 8 graphically.
x = 3
x = 5
x = 2
x = 4
Determine the solution to the equation 3^(x-1) = 27 using graphical methods.
x = 4
x = 3
x = 5
x = 2
