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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 for the cube root function?
(-infinity - +infinity)
f(x)=x^3
f(x)=3 square root x
(-infinity - +infinity)

2. What type of slope do you have when a line falls left to right and m<0?
odd
A line passing through two distinct points
negative slope
(-infinity - +infinity)

3. What is the range of the constant function?
The single number y=
C>1 - horizontal shrinking
same
Absolute Value - Constant and Standard Quadratic

4. What type of slope do you have when the line is horizontal and m=0?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=IxI
zero slope
Conditional

5. Draw or discuss a constant function
negative inverse
0<c<1 - horizontal stretching
2nd key - x^2 - graph
Cannot be drawn in quizlet

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

7. When is the only time (-infinity - +infinity) is not the domain?
Y=x - identity function
in a quotient
A V
Y

8. What type of slope do vertical lines have?
undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
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
even

9. What type of slope do horizontal lines have?
same
Set the x and y to zero and get the intercepts and then plot the points
x^2
As many as you like

10. What is the range for a standard quadratic function?
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

11. What is the standard quadratic function?
x^2
Equation of a line
45 degree angle
f(x)=IxI

12. What is a domain?
2nd key - x^2 - graph
f(x) = x
x is the hours to repair the boat. $1603-532=anwser/63 = x
The first set of components of an ordered pair

13. What are the calculator instructions for absolute value?
Y=x - identity function
As many as you like
The secant line
2nd catalog (zero key -) abs(x) - graph

14. What is another way of writing the absolute value function?
2nd catalog (zero key -) abs(x) - graph
f(x) = x
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI

15. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
neither
horizontal
When does a graph not define y as a function of x?

16. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like

17. What can we substitute for f(x)?
even
Equation of a line
Y
f(x+c) and f(x-c)

18. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Y=10
Mirror image neg quadrant to that of the positive quandrant

19. Standard absolute value - vertical shift formulas for positve and negative
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.
f(x)=+c and f(x)-c
inconsitent
identity

20. What shape is the standard quadratic function?
parabola
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking
45 degree angle

21. Is an absolute value function even - odd or neither?
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points
even
horizontal

22. What type of line is a constant function?
f(x^1)=f(x^2)
horizontal
The first set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276

23. What type of slope do you have when m=? and the line is vertical?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
neither
undefined slope
Three odd - cube root - identity - standard cubic

24. x=no real numbers is what type of an equation?
inconsistant
Y=x^2 - graph
inconsitent
(-infinity - +infinity)

25. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Y=b
(-infinity - +infinity)
neither

26. How are functions normally written?
odd
[0 -+infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations

27. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Conditional
20+.05x=5+.10x x=minutes
parabola
x2-x1 because the demonaitor of a quotient can never equal zero

28. 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
Y=x - identity function
negative inverse
horizontal left

29. What are the steps for solving a word problem?
negative inverse
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
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
Square Root

30. A flat line underlining one vertical line is a symbol for
perpendicular line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal
odd

31. What is the range for the standard cubic function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
parraelle line
Y=10

32. What is the formula for an identity function?
Yes - all the domains points to one range
in a quotient
f(x) = x
Line ascending to the right gradually

33. What is the domain of the cube root function?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
odd
down

34. What equation does every line have? Discuss the variables.
Y=10
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.
even
Yes because two x's or domains can point to one y

35. 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
(-infinity - 0]U[0 - +infinity)
f(x)=+c and f(x)-c
odd

36. 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?
Set the x and y to zero and get the intercepts and then plot the points
Y= then enter the number then press graph
inconsistant
x is the hours to repair the boat. $1603-532=anwser/63 = x

37. What does the standard cubic function look like on a graph?
Yes because two x's or domains can point to one y
As equations
negative inverse
Mirror image neg quadrant to that of the positive quandrant

38. Is the square root function odd - even or neither?
x^2
neither
f(x+c) and f(x-c)
f(x)=+c and f(x)-c

39. What is an identity function?
Y=10
45 degree angle
f(x)=IxI
Set the x and y to zero and get the intercepts and then plot the points

40. What is a relation?
Y=10
Any set of ordered pairs
4 -6 -9
only one

41. What does linear equation mean?
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
20+.05x=5+.10x x=minutes
[0 -+infinity)
Equation of a line

42. Why can h not equal zero in the difference of a quotient function formula?
The second set of components of an ordered pair
horizontal right
because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. Is a constant function even - odd or neither?
Y=10
even
odd
C>1 - horizontal shrinking

44. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
no because you cannot have one domain pointing at two y's or ranges
4 -6 -9
Square Root

45. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x

46. Draw or discuss a decreasing function
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.
horizontal left
f(x)=suare root of x
Cannot be drawn in quizlet

47. What is the formula for an absolute value function?
f(x)=IxI
Set the x and y to zero and get the intercepts and then plot the points
x2-x1 because the demonaitor of a quotient can never equal zero
up

48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The minimum or maximum points
A line passing through two distinct points
Conditional
The secant line

49. how many ranges can you have for each domain?
x math 3 graph
only one
horizontal left
Line ascending to the right gradually

50. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
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.
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)