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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. What is the formula for the standard cubic function?
Y=10
f(x)=x^3
Set the x and y to zero and get the intercepts and then plot the points
x^2

2. What can we substitute for f(x)?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
Y
A line passing through two distinct points

3. What is the range of the cube root function?
The single number y=
Any set of ordered pairs
(-infinity - +infinity)
45 degree angle

4. Is a standard quadratic function even - odd or neither?
Y=10
even
A V
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

5. What is the domain of the cube root function?
Y= then enter the number then press graph
x^2
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)

6. how many ranges can you have for each domain?
2nd key - x^2 - graph
(-infinity - +infinity)
only one
Any set of ordered pairs

7. What are the calculator instructions for the cube root function?
math 4 x - graph
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
x math 3 graph

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.

9. x=no real numbers is what type of an equation?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
As many as you like
inconsistant

10. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
negative slope
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p

11. What is the horizontal line formula?
perpendicular line
Y=b
zero slope
(-infinity - +infinity)

12. What is an identity function?
45 degree angle
Cannot be drawn in quizlet
2nd key - x^2 - graph
The secant line

13. What is the domain for an absolute value function?
f(x)=suare root of x
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Cannot be drawn in quizlet

14. What is the range for a standard quadratic function?
Y=b
Cannot be drawn in quizlet
zero slope
(-infinity - 0]U[0 - +infinity)

15. What type of slope do horizontal lines have?
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
Yes - all the domains points to one range
f(x+c) and f(x-c)
same

16. What is the domain of an identity function?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph

17. When is the only time (-infinity - +infinity) is not the domain?
parraelle line
in a quotient
Y=b
f(x+c) and f(x-c)

18. What is another way of writing the absolute value function?
Y=IxI
even
f(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1

19. What is a constant function?
odd
m
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x^1)=f(x^2)

20. How are functions normally written?
(-infinity - +infinity)
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
As equations
in a quotient

21. what is the formula for slope?
up
even
f(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1

22. Draw or discuss a decreasing function
only one
As many as you like
Cannot be drawn in quizlet
Piecewise

23. 4(x-7)=4x+28 is what type of an equation?
inconsitent
f(x)=suare root of x
f(x+h)-f(x)/h h cannot equal zero
x = the original sale price and the formula is x - .40x =$276

24. What is the domain and range of a constant function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
negative slope
(-infinity - 0]U[0 - +infinity)

25. What is the domain for the standard cubic function?
2nd key - x^2 - graph
(-infinity - +infinity)
undefined slope
Y=10

26. Of the seven of algebra's common graph's how many are odd?
Conditional
45 degree angle
x=a
Three odd - cube root - identity - standard cubic

27. Which direction does f(x)=+c move in standard absolute value formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
up
f(x)=suare root of x
Y

28. What is a function?
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Set the x and y to zero and get the intercepts and then plot the points

29. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
f(x)=3 square root x
neither
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What are the algebra of functions?
math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
same
(-infinity - +infinity)

31. What type of slope do you have when a line rises from left to right and m>0?
The minimum or maximum points
(-infinity - 0]U[0 - +infinity)
horizontal left
postiive slope

32. What are the calculator instructions for the standard cubic function?
The secant line
x math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Mirror image neg quadrant to that of the positive quandrant

33. y=f(cx) what does this formula represent?
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching
Y=IxI
function notation

34. What is another way to write f(x)=x - what type of function is this?
f of g and g of f
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
odd

35. What are the four steps for finding the inverse of a function?
horizontal left
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
The slope of a line containing two points

36. What is the standard quadratic function?
x^2
even
Equation of a line
[0 -+infinity)

37. what is a range?
[0 -+infinity)
The second set of components of an ordered pair
f of g and g of f
horizontal

38. What are the four steps for solving a linear equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The slope of a line containing two points
horizontal
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

39. What does the absolute value function look like?
negative inverse
(-infinity - +infinity)
inconsitent
A V

40. Is an identity function even - odd or neither?
odd
zero slope
4 -6 -9
Three odd - cube root - identity - standard cubic

41. What is the vertical line test?
When does a graph not define y as a function of x?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
Conditional

42. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
f(x) = x

43. 4x+5x=8x is what type of an equation?
Yes because two x's or domains can point to one y
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

44. What does the average rate of change formula solve?
The slope of a line containing two points
As many as you like
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1

45. What are two examples of composit functions?
f of g and g of f
0<c<1 - horizontal stretching
negative inverse
Set the x and y to zero and get the intercepts and then plot the points

46. What shape is the standard quadratic function?
parabola
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
(-infinity - +infinity)
Y=x^2 - graph

47. What is the formula for the square root function?
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
f(x)=suare root of x
Conditional
inconsistant

48. What is the range of the constant function?
Cannot be drawn in quizlet
(-infinity - +infinity)
math 4 x - graph
The single number y=

49. What type of slope do you have when the line is horizontal and m=0?
negative inverse
x is the hours to repair the boat. $1603-532=anwser/63 = x
zero slope
Cannot be drawn in quizlet

50. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph