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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 a constant function?
horizontal right
(-infinity - 0]U[0 - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x^1)=f(x^2)

2. What is the domain of the cube root function?
Y=IxI
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

3. Of the seven of algebra's common graph's how many are odd?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

4. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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.
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
x is the hours to repair the boat. $1603-532=anwser/63 = x
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

5. What is the standard quadratic function?
x^2
Conditional
inconsistant
A V

6. What is the range for a standard quadratic function?
(-infinity - +infinity)
postiive slope
Three odd - cube root - identity - standard cubic
(-infinity - 0]U[0 - +infinity)

7. What type of line is a constant function?
same
f(x^1)=f(x^2)
horizontal
up

8. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations
math 4 x - graph
Y=x^2 - graph

9. What is the formula in both horizontal stretching and horizontal shrinking?
1 -2 -3
x is the hours to repair the boat. $1603-532=anwser/63 = x
The second set of components of an ordered pair
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

10. Standard absolute value - vertical shift formulas for positve and negative
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Absolute Value - Constant and Standard Quadratic
x=a
f(x)=+c and f(x)-c

11. Standard absolute value - horizontal shift formulas for left and right
negative inverse
1 -2 -3
Cannot be drawn in quizlet
f(x+c) and f(x-c)

12. What type of slope do you have when the line is horizontal and m=0?
zero slope
(-infinity - +infinity)
[0 -+infinity)
Line ascending to the right gradually

13. Is an identity function even - odd or neither?
Y=x^2 - graph
odd
f(x^1)=f(x^2)
2nd catalog (zero key -) abs(x) - graph

14. What is the domain for an absolute value function?
identity
(-infinity - +infinity)
f(x)=suare root of x
parabola - up one and right three

15. What are the calculator instructions for a standard quadratic equation?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f of g and g of f
undefined
Y=x^2 - graph

16. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
f(x)=3 square root x
undefined
horizontal

17. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Any set of ordered pairs
A V
in a quotient

18. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=x^3
undefined slope
Set the x and y to zero and get the intercepts and then plot the points

19. What is the range of an identity function?
(-infinity - +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
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
Y

20. A flat line underlining one vertical line is a symbol for
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
horizontal right
perpendicular line

21. x=no real numbers is what type of an equation?
Cannot be drawn in quizlet
inconsistant
Mirror image neg quadrant to that of the positive quandrant
negative inverse

22. What is the domain for a standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
parabola
(-infinity - +infinity)
Y=10

23. What type of slope do horizontal lines have?
f(x)=3 square root x
A line passing through two distinct points
1 -2 -3
same

24. What type of slope do you have when a line falls left to right and m<0?
negative inverse
zero slope
As equations
negative slope

25. What are the calculator instructions for the standard cubic function?
45 degree angle
Y= then enter the number then press graph
(-infinity - +infinity)
x math 3 graph

26. What does the average rate of change formula solve?
horizontal
Cannot be drawn in quizlet
The slope of a line containing two points
Line ascending to the right gradually

27. What does linear equation mean?
Equation of a line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
inconsitent
Yes because two x's or domains can point to one y

28. 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
(-infinity - +infinity)
C>1 - horizontal shrinking
undefined slope

29. What is the formula for the standard cubic function?
[0 -+infinity)
f(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x
x^2

30. What is another way of writing the absolute value function?
Y=IxI
(-infinity - +infinity)
math 4 x - graph
parabola

31. What type of slope do you have when a line rises from left to right and m>0?
inconsistant
only one
postiive slope
Yes because two x's or domains can point to one y

32. Which direction does f(x+c) move
Three odd - cube root - identity - standard cubic
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x^1)=f(x^2)
horizontal left

33. what is the letter used to represent slope?
inconsistant
perpendicular line
m
f(x) = x

34. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Absolute Value - Constant and Standard Quadratic
even
4 -6 -9
45 degree angle

35. What is slope?
neither
A line passing through two distinct points
parabola - up one and right three
Y

36. $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?
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
1 -2 -3
horizontal right
Equation of a line

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
horizontal right
negative slope
(f+g) - (f-g) - (fg) - (f/g) all of x

38. What is the range of the cube root function?
(-infinity - +infinity)
even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
parabola - up one and right three

39. What can we substitute for f(x)?
Y
Absolute Value - Constant and Standard Quadratic
f(x2)-f(x1) / x2-x1
The slope of a line containing two points

40. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
odd
20+.05x=5+.10x x=minutes
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

41. What does the square root function look like on a graph?
(-infinity - +infinity)
Piecewise
f(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually

42. what is a range?
The second set of components of an ordered pair
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
The slope of a line containing two points
even

43. What are two examples of composit functions?
parabola
f of g and g of f
undefined
in a quotient

44. What is the domain of a square root function?
[0 -+infinity)
Yes because two x's or domains can point to one y
neither
horizontal

45. What direction does f(x)-c move in standard absolute value formula?
Y=b
neither
negative slope
down

46. What are the steps for solving a word problem?
[0 -+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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair

47. how many domains can you have pointing to one range?
As many as you like
undefined slope
Y=b
(-infinity - +infinity)

48. What are the calculator instructions for the cube root function?
math 4 x - graph
Equation of a line
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
Y

49. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The secant line
When does a graph not define y as a function of x?
x is the hours to repair the boat. $1603-532=anwser/63 = x

50. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
identity
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.
Set the x and y to zero and get the intercepts and then plot the points