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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 domain?
m
(-infinity - +infinity)
The first set of components of an ordered pair
only one

2. Of the seven of algebra's common graph's how many are even?
The slope of a line containing two points
even
Absolute Value - Constant and Standard Quadratic
The minimum or maximum points

3. What is the formula for to calculate the difference of a quotient function?
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero
C>1 - horizontal shrinking
45 degree angle

4. how many ranges can you have for each domain?
Y=x - identity function
only one
undefined slope
inconsistant

5. What does linear equation mean?
Three odd - cube root - identity - standard cubic
negative slope
Equation of a line
(-infinity - +infinity)

6. What is the formula for the square root function?
f(x)=suare root of x
function notation
parabola
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. What type of slope do vertical lines have?
undefined
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 notation
negative inverse

8. Is an absolute value function even - odd or neither?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
even

9. A flat line underlining one vertical line is a symbol for
Y=x - identity function
perpendicular line
The first set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x

10. y=f(cx) what does this formula represent?
The secant line
parabola - up one and right three
A V
0<c<1 - horizontal stretching

11. What are the calculator instructions for a square root function?
m
2nd key - x^2 - graph
Square Root
horizontal right

12. What type of line is a constant function?
45 degree angle
down
0<c<1 - horizontal stretching
horizontal

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
Yes - all the domains points to one range
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

14. How do you calculate a constant function in your calculator?
horizontal
(-infinity - +infinity)
Y= then enter the number then press graph
parabola - up one and right three

15. Is a standard quadratic function even - odd or neither?
Piecewise
even
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.
same

16. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
undefined slope
Cannot be drawn in quizlet
horizontal right

17. What is an identity function?
45 degree angle
no because you cannot have one domain pointing at two y's or ranges
negative inverse
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

18. What is a function?
45 degree angle
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
Y=IxI

19. In an identity function if f(10)=x than what is y?
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle
even

20. How do you graph Ax+By+C=0?
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
f of g and g of f

21. What type of slope do you have when the line is horizontal and m=0?
neither
zero slope
only one
C>1 - horizontal shrinking

22. What are the steps for solving a word problem?
down
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
As equations
(-infinity - +infinity)

23. What is the domain of a square root function?
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
[0 -+infinity)
Y=x^2 - graph

24. What is the domain for an absolute value function?
even
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd
(-infinity - +infinity)

25. What shape is the standard quadratic function?
As many as you like
parabola
x^2
Mirror image neg quadrant to that of the positive quandrant

26. What is the slope of a perpendicular line?
negative inverse
Y=b
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

27. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
Y=IxI
down
Mirror image neg quadrant to that of the positive quandrant

28. What is the horizontal line formula?
f(x)=3 square root x
Y=b
Y=x - identity function
(-infinity - +infinity)

29. Standard absolute value - vertical shift formulas for positve and negative
postiive slope
Y= then enter the number then press graph
The second set of components of an ordered pair
f(x)=+c and f(x)-c

30. 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
(-infinity - +infinity)
As equations
The second set of components of an ordered pair

31. What is another way of writing the absolute value function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
up
(-infinity - 0]U[0 - +infinity)
Y=IxI

32. What are the algebra of functions?
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+g) - (f-g) - (fg) - (f/g) all of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A V

33. What type of line is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
0<c<1 - horizontal stretching
Y=b

34. What are the calculator instructions for the cube root function?
zero slope
x=a
math 4 x - graph
Y

35. What can we substitute for f(x)?
m
Y=b
Y
f(x2)-f(x1) / x2-x1

36. What is the range for the standard cubic function?
Piecewise
(-infinity - +infinity)
[0 -+infinity)
The first set of components of an ordered pair

37. 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 -+infinity)
Y=b
Y=IxI

38. What is the formula for the standard cubic function?
no because you cannot have one domain pointing at two y's or ranges
Conditional
f(x)=x^3
undefined slope

39. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Y=b
Square Root
4 -6 -9

40. what is a range?
When does a graph not define y as a function of x?
f(x) = x
The minimum or maximum points
The second set of components of an ordered pair

41. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
identity
parabola
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The first set of components of an ordered pair
(-infinity - +infinity)
The secant line
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

43. What is slope?
A V
A line passing through two distinct points
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

44. x= a real number is what type of equation?
The slope of a line containing two points
Y=IxI
Conditional
As equations

45. Is the standard cubic function odd - even or neither?
f(x+h)-f(x)/h h cannot equal zero
odd
function notation
As many as you like

46. What does the average rate of change formula solve?
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity
The slope of a line containing two points

47. How are functions normally written?
(-infinity - +infinity)
As equations
The secant line
(-infinity - +infinity)

48. What is the domain of an identity function?
The slope of a line containing two points
x math 3 graph
(-infinity - +infinity)
C>1 - horizontal shrinking

49. What is the range of a square root function?
in a quotient
x math 3 graph
[0 -+infinity)
negative slope

50. What is the formula for an identity function?
f(x) = x
no because you cannot have one domain pointing at two y's or ranges
math 4 x - graph
Yes - all the domains points to one range