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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 in both horizontal stretching and horizontal shrinking?
because the demintor of a quotient can never equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd
The first set of components of an ordered pair

2. What is the slope of a perpendicular line?
horizontal right
parabola
negative inverse
math 4 x - graph

3. Which direction does f(x-c) move
Piecewise
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal right
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

4. What type of slope do you have when a line falls left to right and m<0?
Yes - all the domains points to one range
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
negative slope
20+.05x=5+.10x x=minutes

5. What can we substitute for f(x)?
x^2
Y
undefined
f(x+c) and f(x-c)

6. Is an identity function even - odd or neither?
odd
parraelle line
f(x)=x^3
0<c<1 - horizontal stretching

7. What is a constant function?
Yes - all the domains points to one range
f(x^1)=f(x^2)
45 degree angle
The secant line

8. What type of function would you use to calculate the most advantageous cell phone plan?
A V
Piecewise
(-infinity - +infinity)
undefined slope

9. What is the formula for the standard cubic function?
Piecewise
(-infinity - +infinity)
The first set of components of an ordered pair
f(x)=x^3

10. y=f(cx) - what does this formula represent?
Y= then enter the number then press graph
C>1 - horizontal shrinking
perpendicular line
20+.05x=5+.10x x=minutes

11. What is a relation?
f(x)=x^3
Any set of ordered pairs
45 degree angle
parraelle line

12. What is the vertical line formula?
x=a
Line ascending to the right gradually
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional

13. How do you calculate a constant function in your calculator?
f of g and g of f
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Y= then enter the number then press graph

14. What type of slope do vertical lines have?
1 -2 -3
perpendicular line
(-infinity - +infinity)
undefined

15. What is the horizontal line formula?
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
Y=b
Piecewise

16. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
x2-x1 because the demonaitor of a quotient can never equal zero
20+.05x=5+.10x x=minutes
only one

17. What shape is the standard quadratic function?
parabola
The slope of a line containing two points
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

18. In an identity function if f(10)=x than what is y?
zero slope
(-infinity - +infinity)
Y=10
f(x)=+c and f(x)-c

19. What type of line is a constant function?
odd
f(x)=IxI
horizontal
identity

20. What is the range of a square root function?
parabola
Yes because two x's or domains can point to one y
up
[0 -+infinity)

21. Which direction does f(x)=+c move in standard absolute value formula?
A line passing through two distinct points
even
Three odd - cube root - identity - standard cubic
up

22. Is an absolute value function even - odd or neither?
Y=x^2 - graph
4 -6 -9
even
postiive slope

23. What does the absolute value function look like?
undefined
Y
A V
postiive slope

24. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=x^3
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

25. What is the range for an absolute value function?
(-infinity - +infinity)
x=a
(-infinity - 0]U[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph

26. What is the domain for the standard cubic function?
Y=IxI
(-infinity - +infinity)
C>1 - horizontal shrinking
x = the original sale price and the formula is x - .40x =$276

27. What is the range for a standard quadratic function?
(-infinity - +infinity)
f(x)=x^3
(-infinity - 0]U[0 - +infinity)
1 -2 -3

28. What does the standard cubic function look like on a graph?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant
x math 3 graph
odd

29. What is the standard quadratic function?
even
x^2
inconsistant
(-infinity - +infinity)

30. What is the domain and range of a constant function?
horizontal
(-infinity - +infinity)
math 4 x - graph
f(x)=3 square root x

31. Two vertical lines side by side are a symbol for what
horizontal
4 -6 -9
(-infinity - +infinity)
parraelle line

32. What are the calculator instructions for the standard cubic function?
The opposite coordinates
same
x math 3 graph
As equations

33. What type of slope do horizontal lines have?
The opposite coordinates
same
Y=x - identity function
parabola - up one and right three

34. 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?
f(x+c) and f(x-c)
same
inconsitent
x is the hours to repair the boat. $1603-532=anwser/63 = x

35. what is a range?
The slope of a line containing two points
Y=x - identity function
[0 -+infinity)
The second set of components of an ordered pair

36. A flat line underlining one vertical line is a symbol for
perpendicular line
Piecewise
Y=x - identity function
1 -2 -3

37. What is the formula for the cube root function?
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x
(-infinity - +infinity)
The second set of components of an ordered pair

38. What is the domain of the cube root function?
45 degree angle
inconsitent
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
(-infinity - +infinity)

39. 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
The single number y=
up
f of g and g of f

40. what is the formula for slope?
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
down
f(x)=IxI

41. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
As many as you like
f(x)=suare root of x
even

42. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
even
The secant line
math 4 x - graph

43. What is slope?
even
perpendicular line
A line passing through two distinct points
x=a

44. What is the formula for an identity function?
Y=b
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x) = x
f(x+c) and f(x-c)

45. What is another way of writing the absolute value function?
parabola - up one and right three
Y=IxI
2nd key - x^2 - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

46. What does linear equation mean?
Equation of a line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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^1)=f(x^2)

47. What is the vertical line test?
parraelle line
When does a graph not define y as a function of x?
x=a
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

48. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
f(x) = x
negative inverse
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.

49. What equation does every line have? Discuss the variables.
Conditional
even
f(x)=IxI
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.

50. Is a standard quadratic function even - odd or neither?
When does a graph not define y as a function of x?
inconsistant
even
[0 -+infinity)