College Algebra Test Chapter 3

Time and Date Stamps (logged): 17:12:20 06-10-2020 ｰｶ涓ｱ浤ｯｯｵ涓ｯ浤ｯｱｯ College Algebra Test Chapter 3

College Algebra Test Chapter 3

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Write on ONE SIDE of paper only
If a distance student be sure to email instructor after taking the test in order to request results.

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Instructions:

Test is to be taken without reference to text or outside notes.
Graphing Calculator is allowed, as is blank paper or testing center paper.
No time limit but test is to be taken in one sitting.
Please place completed test in Dave Smith's folder, OR mail to Dave Smith, Science and Engineering, Va. Highlands CC, Abingdon, Va., 24212-0828 OR email copy of document to dsmith@vhcc.edu, OR fax to 276-739-2590. Test must be returned by individual or agency supervising test. Test is not to be returned to student after it has been taken. Student may, if proctor deems it feasible, make and retain a copy of the test..

Directions for Student:

Completely document your work.
Numerical answers should be correct to 3 significant figures. You may round off given numerical information to a precision consistent with this standard.
Undocumented and unjustified answers may be counted wrong, and in the case of two-choice or limited-choice answers (e.g., true-false or yes-no) will be counted wrong. Undocumented and unjustified answers, if wrong, never get partial credit. So show your work and explain your reasoning.
Due to a scanner malfunction and other errors some test items may be hard to read, incomplete or even illegible. If this is judged by the instructor to be the case you will not be penalized for these items, but if you complete them and if they help your grade they will be counted. Therefore it is to your advantage to attempt to complete them, if necessary sensibly filling in any questionable parts.
Please write on one side of paper only, and staple test pages together.

Test Problems:

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Problem #1:

Evaluate the function:

Find g(a + 1) when g(x) = 4x + 3.

Problem #2:

Find f(a - 4) when f(x) = x^2 + 5.

Problem #3:

Find the average rate of change for the function over the given interval

f(x) = x^2 + 5x between x = 6 and x = 9

Problem #4:

Use the graph to determine if the function is odd, even, or neither.

Problem #5:

Graph the function; a graphing utility is permissible but not required. Find any local maxima or minima.

f(x) = x^3 - 3x^2 + 1

Problem #6:

In November, 2000, a gas company had the following rate schedule for natural gas usage in single-family residences:

Monthly service charge $8.80

Per therm service charge

1st 25 therms $0.6686/therm

Over 25 therms $0.85870/therm

What is the charge for using 25 therms in one month?

What is the charge for using 45 therms in one month?

Construct a function that gives the monthly charge C for x therms of gas.

Problem #7:

f(x) = x ^ (2) if x < 0

f(x) = 1 if x = 0

f(x) = 4x + 4 if x > 0

then find f(2)

Problem #8:

Graph the function.

f(x) = -2 if x >= 1

f(x) = x + 3 if x < 1

Problem #9:

Graph: f(x) = x^3 - 1

Problem #10:

Tell whether the graph of the function opens upward or downward and whether the graph is wider, narrower, or the same as f(x) = x^2.

f(x) = x^2 + 17

Problem #11:

Given f(x) = x - 6/x and g(x) = x ^ (2) + 9, find (g o f)(-2).

Problem #12:

An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle. At any time t, in minutes, after the beginning of the leak, the radius of the oil slick on the surface is r(t) = 5t ft. Find the area A of the oil slick as a function of time.

Problem #13:

A wire of length 6x is bent into the shape of a square. Express the area of the square as a function of x.

Problem #14:

Solve A = w(P - 2w/2) for w

Problem #15:

A figure is shaped like a rectangle with a semicircle attached to its smaller side. If the perimeter of the rectangle is 80 and the smaller side is x, represent the area of the whole figure as a function of x.