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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 domain of an identity function?
f(x)=+c and f(x)-c
Conditional
even
(-infinity - +infinity)

2. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
45 degree angle
same
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
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.

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
1 -2 -3
parraelle line
inconsitent

4. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
in a quotient
horizontal right
4 -6 -9

5. What is the line called that illustrates the straight line between the two points when showing average rate of change?
odd
The secant line
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

6. What is the range for the standard cubic function?
(-infinity - +infinity)
inconsitent
in a quotient
Cannot be drawn in quizlet

7. What are two examples of composit functions?
f of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2
Yes - all the domains points to one range

8. What is the range for an absolute value function?
x2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range
down
(-infinity - 0]U[0 - +infinity)

9. Is an absolute value function even - odd or neither?
even
2nd key - x^2 - graph
odd
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

10. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
down
The minimum or maximum points
Y=10

11. How do you graph Ax+By+C=0?
As equations
Set the x and y to zero and get the intercepts and then plot the points
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

12. x=all real numbers is what type of an equation?
(-infinity - +infinity)
[0 -+infinity)
identity
zero slope

13. What are the calculator instructions for the cube root function?
(-infinity - +infinity)
horizontal left
math 4 x - graph
(-infinity - +infinity)

14. What is the domain for an absolute value function?
Cannot be drawn in quizlet
(-infinity - +infinity)
As equations
even

15. What is the domain for the standard cubic function?
parabola
Y=IxI
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

16. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
20+.05x=5+.10x x=minutes

17. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
even
x^2
(-infinity - +infinity)

18. In an identity function if f(10)=x than what is y?
As many as you like
parabola - up one and right three
Cannot be drawn in quizlet
Y=10

19. What is another way of writing the absolute value function?
down
Cannot be drawn in quizlet
Y=IxI
4 -6 -9

20. Which direction does f(x+c) move
A line passing through two distinct points
horizontal right
horizontal left
in a quotient

21. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
identity
The opposite coordinates
x is the hours to repair the boat. $1603-532=anwser/63 = x

22. Is a standard quadratic function even - odd or neither?
The first set of components of an ordered pair
x=a
(-infinity - +infinity)
even

23. What is a constant function?
math 4 x - graph
f(x^1)=f(x^2)
Equation of a line
[0 -+infinity)

24. What are the calculator instructions for a square root function?
f(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
2nd key - x^2 - graph
f(x2)-f(x1) / x2-x1

25. What type of function would you use to calculate the most advantageous cell phone plan?
The opposite coordinates
Absolute Value - Constant and Standard Quadratic
Piecewise
f(x)=suare root of x

26. y=f(cx) - what does this formula represent?
f(x)=suare root of x
C>1 - horizontal shrinking
odd
Three odd - cube root - identity - standard cubic

27. What are the calculator instructions for absolute value?
even
2nd catalog (zero key -) abs(x) - graph
Conditional
because the demintor of a quotient can never equal zero

28. Is an identity function even - odd or neither?
x2-x1 because the demonaitor of a quotient can never equal zero
in a quotient
odd
1 -2 -3

29. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y=b
postiive slope
f(x)=IxI

30. What points do you use to plot the inverse on a graph?
The opposite coordinates
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
parraelle line

31. What is the vertex?
Cannot be drawn in quizlet
The minimum or maximum points
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

32. Standard absolute value - vertical shift formulas for positve and negative
same
f(x)=+c and f(x)-c
f(x)=suare root of x
even

33. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
Cannot be drawn in quizlet
Line ascending to the right gradually

34. What is the average rate of change formula?
inconsitent
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
negative slope

35. Which direction does f(x-c) move
The single number y=
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
horizontal right

36. How are functions normally written?
As equations
Approach neg toward x through zero and above positive close to x
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.
negative slope

37. What is the domain of the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
1 -2 -3

38. What is the domain for a standard quadratic function?
Y=b
(-infinity - +infinity)
Y=x^2 - graph
20+.05x=5+.10x x=minutes

39. What is the range of a square root function?
[0 -+infinity)
A line passing through two distinct points
x is the hours to repair the boat. $1603-532=anwser/63 = x
even

40. What can we substitute for f(x)?
neither
identity
Y
Conditional

41. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
4 -6 -9
zero slope

42. What equation does every line have? Discuss the variables.
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
C>1 - horizontal shrinking
The secant line

43. What shape is the standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
parabola
f(x)=+c and f(x)-c
same

44. What is an identity function?
Mirror image neg quadrant to that of the positive quandrant
identity
45 degree angle
f(x) = x

45. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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.

46. x^2+y=4 is this a function? Why?

47. how many ranges can you have for each domain?
x^2
only one
45 degree angle
horizontal

48. What does the average rate of change formula solve?
Cannot be drawn in quizlet
The slope of a line containing two points
(-infinity - +infinity)
The minimum or maximum points

49. Is the standard cubic function odd - even or neither?
f(x)=x^3
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes
odd

50. What type of line is an identity function?
Any set of ordered pairs
down
45 degree angle
inconsitent