# Graph the Function

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response.

Don't use plagiarized sources. Get Your Custom Essay on
Graph the Function
Just from \$13/Page

1) Find x to two decimal places.

x = 7,000 1) _______

A) 7813.95 B) 7831.95 C) 7975.01 D) 8320.50

2) Graph the function which calculates the present value of an amount of \$5000 at an annual nominal rate of 7%

compounded continuously for 0 ≤ t ≤ 10. Use the formula P = A .

2) _______

A)

B)

C)

D)

3) A man with \$9000 to invest puts the money into an account that earns 8% compounded continuously. Graph the

corresponding present value function and calculate the number of years before the \$9000 will be due in order for its

present value to be \$7000. Use the formula P = A .

3) _______

A)

3.14 years

B)

6.28 years

C)

0.84 years

D)

7.45 years

Solve the problem.

4) What will the value of an account (to the nearest cent) be after 8 years if \$100 is invested at 6.0% interest compounded

continuously? 4) _______

A) \$175.32 B) \$161.61 C) \$849.47 D) \$159.38

5) How long will it take for the value of an account to be \$890 if \$350 is deposited at 11% interest compounded

continuously? Round your answer to the nearest hundredth. 5) _______

A) 0.93 yr B) 8.48 yr C) 10.41 yr D) 9.33 yr

6) Suppose that \$8000 is invested at an interest rate of 5.5% per year, compounded continuously. How long would it take

to double the investment? 6) _______

A) 11.6 yr B) 12.6 yr C) 2 yr D) 13.6 yr

Find (x).

7) f(x) = 3 – 8x + 2 7) _______

A) 3 – 8x B) 3 – 6 C) 3x – 8 D) 3 – 8

8) f(x) = + 3 8) _______

A) 8 + B) 8 + 3x C) 8 + 3 D) 8x + 3

9) f(x) = -7 ln x – + 2 9) _______

A) – – 5x B) – 5 C) – – 5 D) – – 5

10) f(x) = ln – 3 10) ______

A) – 6x B) – 3x C) – 6x D) – 6x

11) f(x) = 3 ln x + ln + 4 11) ______

A) + 4x B) + 4 C) + + 4x D) + + 4

Use appropriate properties of logarithms to rewrite f(x), and then find (x).

12) f(x) = 5x + 4 ln 2x 12) ______

A) 5 + B) 5 + C) 5 + D) 7 +

Find for the indicated function y.

13) y = 7 x 13) ______

A) B) C) D)

14) y = 3 – x 14) ______

A) 6 + B) 3 – C) 6 – D) 6 –

15) y = -4 ln x + 7 x 15) ______

A) – + B) – + C) – + D) +

Find the equation of the line tangent to the graph of f at the indicated value of x.

16) f(x) = 2 ; x = 0 16) ______

A) y = 2x B) y = x + 2 C) y = 2x – 2 D) y = 2x + 2

17) f(x) = 8 + ln x; x = 1 17) ______

A) y = x – 9 B) y = x + 9 C) y = x – 7 D) y = x + 7

Provide an appropriate response.

18) Use graphical approximation methods to find the point(s) of intersection of f(x) = and g(x) = to two decimal

places. 18) ______

A) (-0.87, 0.42), (1.23, 3.41) B) (1.23, 3.41)

C) (0.87, 0.42), (1.23, 3.41) D) (-0.87, 0.42)

Solve.

19) The salvage value S (in dollars) of a company airplane after t years is estimated to be given by

What is the rate of depreciation (in dollars per year) after 5 years? 19) ______

A) -\$ 42,018/yr B) -\$ 14,987/yr C) -\$ 67,625/yr D) -\$ 21,409/yr

20) A single bacterium divides every 0.5 hour to produce two complete bacteria. If we start with a colony of 6000 bacteria,

after t hours there will be bacteria. Find A'( 5). 20) ______

A) 8,517,393 bacteria B) 133,084 bacteria

C) 2,129,348 bacteria D) 34,069,570 bacteria

Differentiate.

21) Find f'(t) for f(x) = ( 3x – 4)( 4×3 – x2 + 1) 21) ______

A) f'(x) = 48×3 – 19×2 + 57x + 3 B) f'(x) = 12×3 + 19×2 – 57x + 3

C) f'(x) = 48×3 – 57×2 + 8x + 3 D) f'(x) = 36×3 + 57×2 – 19x + 3

22) Find f'(x) for f(x) = (5 + 4)(3 – 5). 22) ______

A) f'(x) = 150 + 84 – 75 B) f'(x) = 20 + 84 – 75

C) f'(x) = 150 + 84 – 75x D) f'(x) = 20 + 84 – 75x

23) Find f'(t) for f(x) = . 23) ______

A) – B) C) D) –

24) Find for y = . 24) ______

A) = B) =

C) = D) =

Provide an appropriate response.

25) Find the derivative of the function at 25) ______

A) B) – C) D) –

26) Find the values of x where the tangent line is horizontal for the graph of 26) ______

A) x = 0, x = -2 B) x = 0, x = -4

C) x = -2 D) x = -2, x = 0, x = -4

Solve the problem.

27) One hour after x milligrams of a particular drug are given to a person, the change in body temperature T(x), in

degrees Celsius, is given approximately by:

T(x) = – , 0 ≤ x ≤ 6

Find the sensitivity, T'(x), of the body to a dosage of three milligrams. 27) ______

A) – degrees per mg B) – degrees per mg

C) degrees per mg D) degrees per mg

ORDER NOW »»

and taste our undisputed quality.