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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. Is a constant function even - odd or neither?
x math 3 graph
(-infinity - 0]U[0 - +infinity)
up
even

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
(-infinity - +infinity)
Y=b

3. What are the steps for solving a word problem?
Y=x - identity function
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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

4. What type of slope do you have when m=? and the line is vertical?
(-infinity - 0]U[0 - +infinity)
Any set of ordered pairs
undefined slope
identity

5. What is the range of the cube root function?
same
1 -2 -3
(-infinity - +infinity)
horizontal right

6. What is the range of the constant function?
0<c<1 - horizontal stretching
The single number y=
parabola
odd

7. What is the range of a square root function?
no because you cannot have one domain pointing at two y's or ranges
f(x)=suare root of x
f(x+c) and f(x-c)
[0 -+infinity)

8. What does the absolute value function look like?
A V
(-infinity - +infinity)
[0 -+infinity)
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

9. Is the square root function odd - even or neither?
Conditional
(-infinity - +infinity)
neither
Any set of ordered pairs

10. In an identity function if f(10)=x than what is y?
45 degree angle
Y=10
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2nd key - x^2 - graph

11. What is the domain for an absolute value function?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Y=b
Equation of a line

12. What type of function would you use to calculate the most advantageous cell phone plan?
horizontal right
As equations
Piecewise
no because you cannot have one domain pointing at two y's or ranges

13. What are the calculator instructions for the standard cubic function?
x math 3 graph
[0 -+infinity)
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

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

15. What is the range of an identity function?
(-infinity - +infinity)
Equation of a line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair

16. How would this formula move f(x)=(x+1)^2-3
As equations
math 4 x - graph
parabola - up one and right three
parabola

17. What type of line is a constant function?
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
horizontal
function notation
Line ascending to the right gradually

18. What does linear equation mean?
zero slope
horizontal
The slope of a line containing two points
Equation of a line

19. What are the calculator instructions for a square root function?
postiive slope
Conditional
2nd key - x^2 - graph
(-infinity - +infinity)

20. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
no because you cannot have one domain pointing at two y's or ranges
odd
f(x)=IxI
4 -6 -9

21. What does the average rate of change formula solve?
The slope of a line containing two points
x^2
(-infinity - +infinity)
f(x^1)=f(x^2)

22. What type of slope do you have when a line rises from left to right and m>0?
[0 -+infinity)
postiive slope
As many as you like
horizontal

23. What equation does every line have? Discuss the variables.
f(x)=suare root of x
Conditional
(-infinity - +infinity)
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.

24. how many ranges can you have for each domain?
zero slope
Cannot be drawn in quizlet
Cannot be drawn in quizlet
only one

25. What is a constant function?
parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x^1)=f(x^2)
Yes - all the domains points to one range

26. what can never equal zero in the slope formula and why?
1 -2 -3
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero
parraelle line

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

28. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=+c and f(x)-c

29. x= a real number is what type of equation?
Conditional
horizontal
f(x)=+c and f(x)-c
Y=x - identity function

30. What is the range for the standard cubic function?
When does a graph not define y as a function of x?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

31. Draw or discuss a decreasing function
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet
The opposite coordinates

32. What type of slope do horizontal lines have?
same
The secant line
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

33. What type of slope do you have when the line is horizontal and m=0?
Any set of ordered pairs
same
zero slope
perpendicular line

34. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
A line passing through two distinct points
postiive slope
Line ascending to the right gradually

35. What is the slope of a perpendicular line?
Three odd - cube root - identity - standard cubic
45 degree angle
[0 -+infinity)
negative inverse

36. What can we substitute for f(x)?
Y
45 degree angle
Absolute Value - Constant and Standard Quadratic
neither

37. What is the formula for the cube root function?
f(x)=3 square root x
4 -6 -9
(-infinity - +infinity)
function notation

38. Is an absolute value function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
Set the x and y to zero and get the intercepts and then plot the points
even
f(x)=x^3

39. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph
horizontal left

40. What is the range for an absolute value function?
A V
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
45 degree angle

41. Draw or discuss an increasing function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
perpendicular line
Cannot be drawn in quizlet
When does a graph not define y as a function of x?

42. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=IxI
[0 -+infinity)
inconsistant

43. Which direction does f(x+c) move
The minimum or maximum points
m
horizontal left
Approach neg toward x through zero and above positive close to x

44. what is a range?
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
Y=b
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair

45. What type of slope do you have when a line falls left to right and m<0?
identity
negative slope
even
Y=b

46. What is a relation?
Any set of ordered pairs
zero slope
2nd key - x^2 - graph
(-infinity - +infinity)

47. What is slope?
x^2
A line passing through two distinct points
Yes - all the domains points to one range
The opposite coordinates

48. $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?
identity
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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic

49. What type of line is an identity function?
horizontal
even
45 degree angle
negative slope

50. What are the calculator instructions for the cube root function?
Y= then enter the number then press graph
math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
down