Exponential Functions Quiz

What is the general form of an exponential function?

• y = a * b^x

• y = a / b^x

• y = a * b * x

• y = a + b^x

How does the graph of an exponential function with a positive base differ from the graph of an exponential function with a negative base?

• The graph of an exponential function with a positive base decreases as x increases, while the graph of an exponential function with a negative base increases as x increases.

• The graph of an exponential function with a positive base increases as x increases, while the graph of an exponential function with a negative base decreases as x increases.

• The graph of an exponential function with a positive base is a straight line, while the graph of an exponential function with a negative base is a curve.

• The graph of an exponential function with a positive base has a maximum value, while the graph of an exponential function with a negative base has a minimum value.

What is the equation of the horizontal asymptote for an exponential function with a positive base?

• y = 0

• y = 1

• y = ∞

• y = -1

What is the equation of the vertical asymptote for an exponential function with a negative base?

• x = 0

• x = ∞

• x = -∞

• No vertical asymptote

Graph the exponential function y = 2^x.

• The exponential function y = 2^x can be graphed as a straight line that passes through the point (0, 1) and remains constant as x increases.

• The exponential function y = 2^x can be graphed as a parabolic curve that opens downwards and gets wider as x increases.

• The exponential function y = 2^x can be graphed as a downward-sloping curve that passes through the point (0, 1) and gets flatter as x increases.

• The exponential function y = 2^x can be graphed as an upward-sloping curve that passes through the point (0, 1) and gets steeper as x increases.

Evaluate the exponential function y = 3^x when x = 2.

• 9

• 15

• 12

• 6

Graph the exponential function y = 0.5^x.

• The exponential function y = 0.5^x can be graphed as a parabola.

• The exponential function y = 0.5^x can be graphed as a decreasing curve that approaches the x-axis but never touches it.

• The exponential function y = 0.5^x can be graphed as a straight line.

• The exponential function y = 0.5^x can be graphed as an increasing curve that approaches the x-axis but never touches it.

Evaluate the exponential function y = 4^x when x = -1.

• 1/4

• 16

• 4

• 0

Graph the exponential function y = e^x.

• Graphing the exponential function y = e^x results in a straight line.

• Graphing the exponential function y = e^x results in a curve that starts at (0, 0) and decreases rapidly as x increases.

• Graphing the exponential function y = e^x results in a curve that starts at (0, 1) and decreases rapidly as x increases.

• Graphing the exponential function y = e^x results in a curve that starts at (0, 1) and increases rapidly as x increases.

Evaluate the exponential function y = 5^x when x = 0.

• 1

• 25

• 5

• 0