Exponential Functions Practice - MathBitsNotebook(A2)

Practice with Exponential Functions
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Directions: Read carefully and choose the best answers.

Which of the following choices describes the end behavior of the function shown below?
mp1

Choose:

Given the function f (x) = 4^-2x. What is the percent rate of change?

Choose:

The graph of f (x) = 2^x ...

Choose:

	intersects the x-axis.
	intersects the y-axis.
	intersects both axes.
	intersects neither axis.

Given the graph shown at the right, find an exponential function to represent this graph.

Choose:

	f (x) = 2(2)^x
	f (x) = 2(1/2)^x
	f (x) = 4(1/2)^x
	f (x) = 4(2)^x

The domain of f (x) = 7^x is ...

Choose:

	all positive real numbers
	all reals less than zero
	all reals greater than one
	all real numbers

Consider the graph of y = e^x with the limited domain [-4,4]. What is the maximum value of the function on this interval?

Choose:

The graph at the right shows a function of the form f (x) = b^x.
Which statement must be true
about b?

Choose:

	b > 1
	0 < b < 1
	b < 0
	b < -1

Given f (x) = e^3x.
Find the value of ln(f (-1)).

Choose:

The table below shows values from an exponential function of the form f (x) = ab^x. Which of the following equations may be represented by this table?

practable

Choose:

10.

A vertical shift of the graph of y = e^x changes the horizontal asymptote. What is the equation of the horizontal asymptote of the graph of y = e^x+ 3?

Choose:

11.

Given the graph of an increasing exponential function.
a) If the equation for the graph is written as y = ab^x, describe what is known about the values of a and b.

Choose:

	(a, 0) = x-intercept; b is greater than 0 and represents the growth factor 1 + r (where r = rate of growth)
	(a, 0) = x-intercept; b is greater than 0 and represents the growth factor 1 - r (where r = rate of growth)
	(0, a) = y-intercept; b is greater than 0 and represents the growth factor 1 + r (where r = rate of growth)
	(0, a) = y-intercept; b is greater than 0 and represents the growth factor 1 - r (where r = rate of growth)

b) If the equation for the graph is written as y = ae^kx, describe what is known about the values of a and k.

Choose:

	(a, 0) = x-intercept; k is greater than 0 and represents the growth factor
	(a, 0) = x-intercept; k is greater than 0 and represents the rate of growth; e^k= growth factor
	(0, a) = y-intercept; k is greater than 0 and represents the growth factor
	(0, a) = y-intercept; k is greater than 0 and represents the rate of growth; e^k = growth factor

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Topical Outline | Algebra 2 Outline| MathBitsNotebook.com | MathBits' Teacher Resources
Terms of Use Contact Person: Donna Roberts