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Section 4.2 Exercises - Exponential Functions Name___________________________________

Provide the missing information.

Given a real number b where b > 0 and b

is called an exponential function. 2)

The function defined by y = x3 (is/is not)

an exponential function, whereas the function defined by y = 3x (is/is not) an exponential function. 3)

The graph of f (x) = 5

3x is (increasing/decreasing) over its domain. 4)

The graph of f (x) = 3

5x is (increasing/decreasing) over its domain. 5)

The domain of an exponential function f

(x) = bx is . 6)

The range of an exponential function f

(x) = bx is . 7)

All exponential functions f (x) = bx pass

through the point . 8)

The horizontal asymptote of an

exponential function f (x) = bx is the line 9)

The function defined by f (x) = 1x (is/is

not) an exponential function. 10)

As x:', the value of1 + 1

xx approaches . 11)

The function f (x) = ex

is the exponential function base and is also called the exponential function. 12)

The formula A = Pert gives the amount A

in an account after t years at an interest rate r under the assumption that interest is compounded .

Evaluate the function at the given value of x.

Round to 4 decimal places if necessary.

13) f (x) = 6x;f (2.3) 14) h (x) = 1 4x ;h (-3) 15) f (x) = 1 3x ;f (0.3e) 16) f (x) = 7x;f (6)

Graph the function and write the domain and

range in interval notation. 17) f (x) = 7x 18) f (x) = 1 3x 19) f (x) = 8 3x 1

Solve the problem.

20)

Use the graph of y = 2x to graph the

function. Write the domain and range in interval notation. f (x) = 2x + 1 - 4 21)

Use the graph of y = 2- x to graph the

function .Write the domain and range in interval notation. f (x) = 2- x 22)

Use the graph of y = 1

2x to graph the function. Write the domain and range in interval notation. f (x) =1 2x + 4 - 3

Evaluate the function at the given value of x.

Round to 4 decimal places if necessary.

23)
f (x) = ex; f (0.6)

Use transformations of the graph y = ex to graph

the function. Write the domain and range in interval notation. 24)
f (x) = ex - 1 25)
f (x) = ex - 1

Solve the problem.

26)

James wants to invest $15,000. He can

invest the money at 5% simple interest for 20 yr or he can invest at 4.6% with interest compounded continuously for 20 yr. Which option results in more total interest? 27)

The atmospheric pressure on an object

decreases as altitude increases. If a is the height (in km) above sea level, then the pressure P(a) (in mmHg) is approximated by P(a) = 760e-0.13a.

Determine the atmospheric pressure at

8.296 km. Round to the nearest whole

unit. 28)

The population of bacteria culture was

2000 at noon, and was increasing at a

rate of 10% per hour. The number can be found using the function

P(t) = 2,000(1.1)t

where t is the number of hours past noon. Predict the population 6 hours later, at 6 PM to the nearest whole number. 2

Answer Key

Testname: SECTION 4.2 EXERCISES

1) bx 2) is not; is 3) increasing 4) decreasing 5) 6) (0, ') 7) (0, 1) 8) y = 0 9) is not 10) e 11) e ; natural 12) continuously 13)

61.6237

14) 64
15)

0.4082

16)

117.5057

17)

Domain: (-', ')Range: (0, ')

18)

Domain: (-', ')Range: (0, ')

19)

Domain: (-', ')Range: (0, ')

20)

Domain: (-', ')Range: (-4, ')

21)

Domain: (-', ')Range: (0, ')

22)

Domain: (-', ')Range: (-3, ')

23)

1.8221

Answer Key

Testname: SECTION 4.2 EXERCISES

24)

Domain: (-'')Range: (0,')

25)

Domain: (-'')Range: (-1')

26)
4.6% compounded continuously results in more total interest 27)

258 mmHg

28)
3,543 4quotesdbs_dbs5.pdfusesText_10

[PDF] [PDF] Section 42 Exercises - Exponential Functions - Humble ISD

Provide the missing information.

Given a real number b where b > 0 and b

The function defined by y = x3 (is/is not)

The graph of f (x) = 5

The graph of f (x) = 3

The domain of an exponential function f

The range of an exponential function f

All exponential functions f (x) = bx pass

The horizontal asymptote of an

The function defined by f (x) = 1x (is/is

As x:', the value of1 + 1

The function f (x) = ex

The formula A = Pert gives the amount A

Evaluate the function at the given value of x.

Round to 4 decimal places if necessary.

Graph the function and write the domain and

Solve the problem.

Use the graph of y = 2x to graph the

Use the graph of y = 2- x to graph the

Use the graph of y = 1

Evaluate the function at the given value of x.

Round to 4 decimal places if necessary.

Use transformations of the graph y = ex to graph

Solve the problem.

James wants to invest $15,000. He can

The atmospheric pressure on an object

Determine the atmospheric pressure at

8.296 km. Round to the nearest whole

The population of bacteria culture was

2000 at noon, and was increasing at a

P(t) = 2,000(1.1)t

Answer Key

Testname: SECTION 4.2 EXERCISES

61.6237

0.4082

117.5057

Domain: (-', ')Range: (0, ')

Domain: (-', ')Range: (0, ')

Domain: (-', ')Range: (0, ')

Domain: (-', ')Range: (-4, ')

Domain: (-', ')Range: (0, ')

Domain: (-', ')Range: (-3, ')

1.8221

Answer Key

Testname: SECTION 4.2 EXERCISES

Domain: (-'')Range: (0,')

Domain: (-'')Range: (-1')

258 mmHg