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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 the square root function odd - even or neither?
A V
Y= then enter the number then press graph
neither
inconsitent

2. Two vertical lines side by side are a symbol for what
parraelle line
f(x+h)-f(x)/h h cannot equal zero
neither
The opposite coordinates

3. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
f(x)=+c and f(x)-c
f(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

4. What type of line is a constant function?
Square Root
horizontal
f(x+h)-f(x)/h h cannot equal zero
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.

5. What type of slope do you have when the line is horizontal and m=0?
Cannot be drawn in quizlet
Y=10
(-infinity - +infinity)
zero slope

6. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd
f(x+c) and f(x-c)

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

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

9. Draw or discuss a decreasing function
Cannot be drawn in quizlet
even
inconsitent
Y=10

10. What is the range of the constant function?
perpendicular line
(-infinity - +infinity)
The single number y=
zero slope

11. What type of slope do horizontal lines have?
zero slope
(-infinity - +infinity)
same
2nd catalog (zero key -) abs(x) - graph

12. What does the graph of the cube root function look like on the graph?
horizontal
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)

13. x=no real numbers is what type of an equation?
negative slope
(-infinity - 0]U[0 - +infinity)
math 4 x - graph
inconsistant

14. What is the domain for an absolute value function?
When does a graph not define y as a function of x?
Three odd - cube root - identity - standard cubic
m
(-infinity - +infinity)

15. What is the formula for the square root function?
Line ascending to the right gradually
f(x)=suare root of x
undefined
Y=x - identity function

16. What is the formula for to calculate the difference of a quotient function?
Yes - all the domains points to one range
Y=IxI
f(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]U[0 - +infinity)

17. What is the range for a standard quadratic function?
(-infinity - +infinity)
parraelle line
(-infinity - 0]U[0 - +infinity)
horizontal left

18. Of the seven of algebra's common graph's how many are neither?
only one
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Line ascending to the right gradually
Square Root

19. How would this formula move f(x)=(x+1)^2-3
even
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
parabola - up one and right three

20. Draw or discuss an increasing function
Conditional
Cannot be drawn in quizlet
The minimum or maximum points
(-infinity - +infinity)

21. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
identity
Set the x and y to zero and get the intercepts and then plot the points
odd

22. What is the horizontal line formula?
A V
no because you cannot have one domain pointing at two y's or ranges
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

23. What is the formula for an identity function?
f(x) = x
Piecewise
20+.05x=5+.10x x=minutes
x^2

24. What type of slope do vertical lines have?
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x
undefined

25. What is a domain?
Conditional
The opposite coordinates
The first set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)

26. x= a real number is what type of equation?
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
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

27. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
negative slope
The minimum or maximum points
odd

28. What is the point slope formula and when do you use it?
function notation
x=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x math 3 graph

29. What does the square root function look like on a graph?
Conditional
0<c<1 - horizontal stretching
Line ascending to the right gradually
A V

30. what is the letter used to represent slope?
m
Mirror image neg quadrant to that of the positive quandrant
negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

31. how many ranges can you have for each domain?
Square Root
only one
f(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic

32. what can never equal zero in the slope formula and why?
f(x)=suare root of x
x2-x1 because the demonaitor of a quotient can never equal zero
only one
Cannot be drawn in quizlet

33. What is the formula for the standard cubic function?
The slope of a line containing two points
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
f(x)=x^3
Any set of ordered pairs

34. Is an identity function even - odd or neither?
Y=x - identity function
down
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. Is a constant function even - odd or neither?
even
2nd key - x^2 - graph
Y=b
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

36. What are the calculator instructions for a square root function?
As equations
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
2nd key - x^2 - graph
f(x+c) and f(x-c)

37. What is the domain of an identity function?
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
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x+c) and f(x-c)

38. What type of line is an identity function?
x^2
Mirror image neg quadrant to that of the positive quandrant
parabola
45 degree angle

39. What is slope?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
A line passing through two distinct points
The secant line

40. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
f(x+c) and f(x-c)
Yes - all the domains points to one range
Y=b
Square Root

41. 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
up
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

42. What is the formula for an absolute value function?
f(x)=IxI
up
perpendicular line
[0 -+infinity)

43. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
0<c<1 - horizontal stretching
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
x = the original sale price and the formula is x - .40x =$276

44. What does the absolute value function look like?
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
The minimum or maximum points
A V

45. Is the standard cubic function odd - even or neither?
odd
The second set of components of an ordered pair
zero slope
20+.05x=5+.10x x=minutes

46. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
[0 -+infinity)
x=a
(-infinity - 0]U[0 - +infinity)

47. Which direction does f(x+c) move
45 degree angle
horizontal left
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

48. What does the average rate of change formula solve?
x math 3 graph
A line passing through two distinct points
x^2
The slope of a line containing two points

49. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
f(x)=3 square root x
identity
zero slope

50. What are the calculator instructions for the standard cubic function?
math 4 x - graph
horizontal left
x math 3 graph
zero slope