Exponential Functions from Graph

What is the Y-intercept? _______ What is the Ration? ________ What is the Exponential Equation? f(x)=_________

What is the Y-intercept? __________ What is the Ratio? __________ What is the exponential equation? f(x)=____________

Does the graph represent an exponential growth or an exponential decay function?

• Exponential Growth

• Exponential Decay

Is the graph exponential growth or decay?

• Exponential growth

• Exponential decay

Which function models this table?

Is the table linear, exponential or neither?

• Linear

• Exponential

• Neither

Given the table in the image shown, what type of function does this table represent?

• Linear

• Quadratic

• Exponential

• Constant

Answer explanation

The table represents an exponential function because the values increase at an increasing rate, indicating a multiplicative growth pattern rather than a constant or linear change.

What is the function of the graph shown?

• y=-1+5^x

• y=3x

• y=-3+1^x

• y=-3^x

Answer explanation

The function y=-3^x represents an exponential decay, where the base is negative, indicating that the graph will decrease rapidly as x increases. This matches the behavior of the graph shown, making it the correct choice.

What is the rate of change for the exponential function shown?

• 4^x

• 3¹

• 2^x

• 5^x

Answer explanation

The rate of change for an exponential function is determined by its base. Here, 2^x indicates a growth rate of 2, making it the correct choice. Other options have different bases, thus not matching the required rate.

In an exponential growth function, as x approaches infinity, what happens to y?

• y approaches zero.

• y approaches infinity.

• y remains constant.

• y oscillates between values.

Answer explanation

In an exponential growth function, as x approaches infinity, y increases without bound, meaning y approaches infinity. This is characteristic of exponential growth, where values grow rapidly as x increases.