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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. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Set the x and y to zero and get the intercepts and then plot the points
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)
1 -2 -3

2. Is an identity function even - odd or neither?
odd
Y=10
f(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking

3. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

4. What is a relation?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
parabola - up one and right three
20+.05x=5+.10x x=minutes
Any set of ordered pairs

5. What type of slope do vertical lines have?
As equations
x math 3 graph
even
undefined

6. What are the calculator instructions for the standard cubic function?
Y=10
horizontal right
x math 3 graph
f of g and g of f

7. What is the domain for the standard cubic function?
f(x) = x
(-infinity - +infinity)
f(x)=x^3
(-infinity - 0]U[0 - +infinity)

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
math 4 x - graph
Any set of ordered pairs
4 -6 -9
negative inverse

9. What is the range for the standard cubic function?
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
(-infinity - +infinity)
45 degree angle
Yes - all the domains points to one range

10. What does the square root function look like on a graph?
Line ascending to the right gradually
The opposite coordinates
f(x2)-f(x1) / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

11. What does the average rate of change formula solve?
2nd key - x^2 - graph
horizontal left
Yes because two x's or domains can point to one y
The slope of a line containing two points

12. f(x) = x^2+3x+5 - what type of formula is this?
Absolute Value - Constant and Standard Quadratic
function notation
horizontal right
[0 -+infinity)

13. What type of line is a constant function?
(-infinity - 0]U[0 - +infinity)
x math 3 graph
A V
horizontal

14. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - +infinity)
negative inverse
1 -2 -3

15. What is the range of the cube root function?
(-infinity - +infinity)
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic

16. Which direction does f(x+c) move
f(x+h)-f(x)/h h cannot equal zero
horizontal left
When does a graph not define y as a function of x?
parabola - up one and right three

17. x=all real numbers is what type of an equation?
parabola
Piecewise
(-infinity - +infinity)
identity

18. What are the algebra of functions?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
Line ascending to the right gradually

19. What is the formula for the cube root function?
f(x)=3 square root x
Y= then enter the number then press graph
f of g and g of f
Conditional

20. What is another way of writing the absolute value function?
Equation of a line
[0 -+infinity)
Y=IxI
C>1 - horizontal shrinking

21. What is the formula for an identity function?
(-infinity - +infinity)
f(x) = x
x^2
Y=b

22. Is the square root function odd - even or neither?
neither
Square Root
even
45 degree angle

23. Draw or discuss a constant function
Line ascending to the right gradually
(-infinity - +infinity)
Equation of a line
Cannot be drawn in quizlet

24. Of the seven of algebra's common graph's how many are even?
Equation of a line
The secant line
(-infinity - 0]U[0 - +infinity)
Absolute Value - Constant and Standard Quadratic

25. What is the domain of a square root function?
math 4 x - graph
Yes - all the domains points to one range
[0 -+infinity)
horizontal left

26. What is the range for a standard quadratic function?
inconsistant
f(x2)-f(x1) / x2-x1
odd
(-infinity - 0]U[0 - +infinity)

27. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
Yes because two x's or domains can point to one y
even

28. Draw or discuss a decreasing function
parabola - up one and right three
even
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet

29. What type of slope do you have when a line falls left to right and m<0?
negative slope
f(x) = x
inconsitent
identity

30. what is a range?
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
The second set of components of an ordered pair
only one

31. What shape is the standard quadratic function?
undefined
Any set of ordered pairs
parabola
Yes - all the domains points to one range

32. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
The first set of components of an ordered pair
up

33. Is a standard quadratic function even - odd or neither?
Conditional
Y= then enter the number then press graph
even
(-infinity - +infinity)

34. What is a function?
up
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]U[0 - +infinity)
Equation of a line

35. What is the range for an absolute value function?
45 degree angle
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes

36. What points do you use to plot the inverse on a graph?
x math 3 graph
4 -6 -9
horizontal
The opposite coordinates

37. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
When does a graph not define y as a function of x?
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like
20+.05x=5+.10x x=minutes

38. What is the formula in both horizontal stretching and horizontal shrinking?
x math 3 graph
The single number y=
postiive slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

39. What is the range of an identity function?
Square Root
Cannot be drawn in quizlet
(-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

40. y=f(cx) what does this formula represent?
postiive slope
(-infinity - +infinity)
1 -2 -3
0<c<1 - horizontal stretching

41. What is the formula for the square root function?
The second set of components of an ordered pair
f(x)=suare root of x
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

42. What is the formula for the standard cubic function?
in a quotient
f(x)=x^3
even
0<c<1 - horizontal stretching

43. What is the slope of a perpendicular 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
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
negative inverse

44. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
horizontal
f of g and g of f
up

45. What is the formula for an absolute value function?
x=a
in a quotient
f(x)=IxI
Set the x and y to zero and get the intercepts and then plot the points

46. What is the line called that illustrates the straight line between the two points when showing average rate of change?
x math 3 graph
The secant line
m
f(x^1)=f(x^2)

47. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
up
Y=10
The single number y=

48. What are the four steps for solving a linear equation?
Mirror image neg quadrant to that of the positive quandrant
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.
[0 -+infinity)
1 -2 -3

49. What is slope?
f(x+h)-f(x)/h h cannot equal zero
m
A line passing through two distinct points
negative slope

50. A flat line underlining one vertical line is a symbol for
math 4 x - graph
A V
The second set of components of an ordered pair
perpendicular line