Test your basic knowledge |

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. Why can h not equal zero in the difference of a quotient function formula?
45 degree angle
because the demintor of a quotient can never equal zero
Equation of a line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

2. What are the algebra of functions?
As many as you like
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
in a quotient

3. what is a range?
even
2nd catalog (zero key -) abs(x) - graph
f of g and g of f
The second set of components of an ordered pair

4. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
identity
(-infinity - +infinity)
because the demintor of a quotient can never equal zero

5. What is the domain for a standard quadratic function?
The single number y=
(-infinity - 0]U[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
(-infinity - +infinity)

6. Standard absolute value - vertical shift formulas for positve and negative
The opposite coordinates
(-infinity - +infinity)
f(x)=+c and f(x)-c
f(x+c) and f(x-c)

7. What type of slope do vertical lines have?
The opposite coordinates
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x2)-f(x1) / x2-x1
undefined

8. x= a real number is what type of equation?
odd
identity
Any set of ordered pairs
Conditional

9. What type of slope do you have when the line is horizontal and m=0?
Y= then enter the number then press graph
zero slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+c) and f(x-c)

10. What direction does f(x)-c move in standard absolute value formula?
Yes - all the domains points to one range
odd
Cannot be drawn in quizlet
down

11. Is a standard quadratic function even - odd or neither?
The secant line
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
even

12. What is the range of the constant function?
f(x2)-f(x1) / x2-x1
The single number y=
(-infinity - +infinity)
even

13. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
(-infinity - +infinity)
The single number y=
Absolute Value - Constant and Standard Quadratic

14. What type of slope do you have when a line falls left to right and m<0?
negative slope
Y=IxI
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points

15. x=all real numbers is what type of an equation?
identity
negative slope
(-infinity - 0]U[0 - +infinity)
parabola

16. What is a relation?
(-infinity - +infinity)
Any set of ordered pairs
The single number y=
Cannot be drawn in quizlet

17. When is the only time (-infinity - +infinity) is not the domain?
f(x)=suare root of x
in a quotient
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range

18. What are the calculator instructions for the cube root function?
0<c<1 - horizontal stretching
horizontal left
45 degree angle
math 4 x - graph

19. Draw or discuss a constant function
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet
[0 -+infinity)

20. Of the seven of algebra's common graph's how many are odd?
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph
Three odd - cube root - identity - standard cubic
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

21. What is the domain of the cube root function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
odd
zero slope

22. What type of slope do you have when m=? and the line is vertical?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
undefined slope

23. What is the formula for an absolute value function?
1 -2 -3
even
x math 3 graph
f(x)=IxI

24. What is the standard quadratic function?
zero slope
x^2
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

25. What are the calculator instructions for absolute value?
Yes - all the domains points to one range
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph
f(x2)-f(x1) / x2-x1

26. What equation does every line have? Discuss the variables.
Y
Equation of a line
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.
negative slope

27. What is the slope of a perpendicular line?
negative inverse
undefined
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.
postiive slope

28. Which direction does f(x+c) move
f of g and g of f
zero slope
horizontal left
As equations

29. What is the range for a standard quadratic function?
(-infinity - +infinity)
x^2
(-infinity - 0]U[0 - +infinity)
neither

30. What is another way to write f(x)=x - what type of function is this?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function
Square Root
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.

31. What type of function would you use to calculate the most advantageous cell phone plan?
f(x)=suare root of x
Cannot be drawn in quizlet
parraelle line
Piecewise

32. Is the standard cubic function odd - even or neither?
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
odd
As many as you like

33. x=no real numbers is what type of an equation?
identity
inconsistant
f(x) = x
x is the hours to repair the boat. $1603-532=anwser/63 = x

34. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
same

35. What is a domain?
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.
The first set of components of an ordered pair
f(x^1)=f(x^2)
negative slope

36. What is the domain of an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

37. A flat line underlining one vertical line is a symbol for
m
perpendicular line
x is the hours to repair the boat. $1603-532=anwser/63 = x
When does a graph not define y as a function of x?

38. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
0<c<1 - horizontal stretching
even
even

39. What shape is the standard quadratic function?
parabola
because the demintor of a quotient can never equal zero
The opposite coordinates
x=a

40. 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
Y=b
Conditional

41. What does the absolute value function look like?
function notation
f(x^1)=f(x^2)
m
A V

42. What type of line is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
horizontal right
horizontal
f(x)=3 square root x

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
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
1 -2 -3
Square Root

44. What are the steps for solving a word problem?
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)
x = the original sale price and the formula is x - .40x =$276
The first set of components of an ordered pair

45. 4(x-7)=4x+28 is what type of an equation?
Square Root
neither
inconsitent
(-infinity - +infinity)

46. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
undefined slope
(-infinity - +infinity)

47. What is another way of writing the absolute value function?
(-infinity - +infinity)
Y
same
Y=IxI

48. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
x = the original sale price and the formula is x - .40x =$276
The single number y=
A V

49. y=f(cx) what does this formula represent?
horizontal left
x is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

50. What is the domain and range of a constant function?
identity
0<c<1 - horizontal stretching
Y=x^2 - graph
(-infinity - +infinity)