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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. x=all real numbers is what type of an equation?
Y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even
identity

2. What are the algebra of functions?
(-infinity - +infinity)
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.
identity
(f+g) - (f-g) - (fg) - (f/g) all of x

3. What can we substitute for f(x)?
Y
m
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

4. 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
45 degree angle
perpendicular line
f(x+c) and f(x-c)

5. What type of slope do you have when a line rises from left to right and m>0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
postiive slope
up
x^2

6. Is an absolute value function even - odd or neither?
up
even
As equations
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

7. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
C>1 - horizontal shrinking
Y=IxI
Approach neg toward x through zero and above positive close to x

8. What is the vertex?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
same
Conditional
The minimum or maximum points

9. What type of line is a constant function?
horizontal
45 degree angle
1 -2 -3
Equation of a line

10. What is the range of the constant function?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
f(x) = x
The single number y=

11. What does the average rate of change formula solve?
Any set of ordered pairs
(-infinity - +infinity)
The slope of a line containing two points
Cannot be drawn in quizlet

12. What shape is the standard quadratic function?
m
horizontal right
parabola
The opposite coordinates

13. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
The second set of components of an ordered pair
parabola
math 4 x - graph

14. Which direction does f(x+c) move
horizontal left
45 degree angle
Y=x - identity function
Equation of a line

15. Is a standard quadratic function even - odd or neither?
even
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
in a quotient
2nd key - x^2 - graph

16. Why can h not equal zero in the difference of a quotient function formula?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
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

17. What is the formula for an absolute value function?
f(x)=IxI
[0 -+infinity)
x=a
f(x+c) and f(x-c)

18. What is another way of writing the absolute value function?
down
Y=IxI
parabola - up one and right three
The minimum or maximum points

19. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
As many as you like
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
The second set of components of an ordered pair
identity
1 -2 -3

21. What are the four steps for solving a linear equation?
Conditional
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.
undefined slope
because the demintor of a quotient can never equal zero

22. What does linear equation mean?
When does a graph not define y as a function of x?
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
Equation of a line

23. What is the slope of a perpendicular line?
negative inverse
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)
Y=x - identity function

24. Draw or discuss a constant function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd
Cannot be drawn in quizlet
The slope of a line containing two points

25. What is slope?
(-infinity - +infinity)
A line passing through two distinct points
inconsitent
x is the hours to repair the boat. $1603-532=anwser/63 = x

26. x=no real numbers is what type of an equation?
f(x)=3 square root x
only one
inconsistant
Cannot be drawn in quizlet

27. What is the domain for the standard cubic function?
inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually
(-infinity - +infinity)

28. Of the seven of algebra's common graph's how many are neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root
(-infinity - 0]U[0 - +infinity)
up

29. A flat line underlining one vertical line is a symbol for
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
perpendicular line
Piecewise

30. When is the only time (-infinity - +infinity) is not the domain?
undefined
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal right
in a quotient

31. Is an identity function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient
Mirror image neg quadrant to that of the positive quandrant
odd

32. What does the absolute value function look like?
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V
horizontal

33. What is the range of a square root function?
Three odd - cube root - identity - standard cubic
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
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
[0 -+infinity)

34. What type of slope do you have when m=? and the line is vertical?
x=a
undefined slope
Mirror image neg quadrant to that of the positive quandrant
only one

35. Draw or discuss an increasing function
f(x+h)-f(x)/h h cannot equal zero
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
Cannot be drawn in quizlet
undefined

36. How do you graph Ax+By+C=0?
negative inverse
odd
Set the x and y to zero and get the intercepts and then plot the points
f(x)=x^3

37. x= a real number is what type of equation?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Conditional
Y

38. 4(x-7)=4x+28 is what type of an equation?
inconsitent
up
As many as you like
f(x2)-f(x1) / x2-x1

39. What type of slope do you have when a line falls left to right and m<0?
identity
f(x) = x
(f+g) - (f-g) - (fg) - (f/g) all of x
negative slope

40. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
zero slope
horizontal right
odd

41. What type of slope do vertical lines have?
f(x+h)-f(x)/h h cannot equal zero
negative inverse
undefined
parraelle line

42. Which direction does f(x)=+c move in standard absolute value formula?
up
identity
even
Y

43. How are functions normally written?
A V
horizontal right
parraelle line
As equations

44. what is a range?
The second set of components of an ordered pair
f(x+c) and f(x-c)
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant

45. What is the average rate of change formula?
0<c<1 - horizontal stretching
even
f(x2)-f(x1) / x2-x1
x=a

46. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
even
Cannot be drawn in quizlet
f(x^1)=f(x^2)

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

48. 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?
x=a
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
horizontal

49. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line
[0 -+infinity)

50. how many ranges can you have for each domain?
inconsitent
Set the x and y to zero and get the intercepts and then plot the points
x^2
only one