Exponential Functions Assessment

Plot the graph of y = 2^x. What is the shape of the graph?

• Parabolic curve

• Exponential curve

• Linear curve

• Sine wave

If the base of an exponential function is greater than 1, how does the graph behave?

• The graph increases rapidly as x increases.

• The graph decreases as x increases.

• The graph remains constant regardless of x.

• The graph oscillates between positive and negative values.

Explain how the y-intercept of an exponential function is related to its base.

• The y-intercept of an exponential function is related to its constant term, not its base.

• The y-intercept of an exponential function is related to its exponent, not its base.

• The y-intercept of an exponential function is related to its slope, not its base.

• The y-intercept of an exponential function is related to its coefficient, not its base.

Compare and contrast the graphs of y = 3^x and y = 1/3^x. What are the differences?

• Both graphs have the same shape and direction.

• The graph of y = 3^x is a straight line, while the graph of y = 1/3^x is a parabola.

• The graph of y = 3^x is an exponential growth curve, while the graph of y = 1/3^x is an exponential decay curve.

• The graph of y = 3^x is a decreasing curve, while the graph of y = 1/3^x is an increasing curve.

Given the equation y = 5^x, identify the key points on the graph.

• y-intercept: (1, 0), crosses x-axis

• y-intercept: (0, 5), never crosses x-axis

• y-intercept: (0, 1), never crosses x-axis

• y-intercept: (0, 0), crosses x-axis