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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 vertical line formula?
undefined slope
x=a
m
The slope of a line containing two points

2. What is a constant function?
The secant line
f(x^1)=f(x^2)
Yes - all the domains points to one range
x math 3 graph

3. What is an identity function?
45 degree angle
Y= then enter the number then press graph
x=a
The secant line

4. 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?
m
Y=x^2 - graph
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x

5. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
horizontal right
even
The slope of a line containing two points

6. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Square Root
even
odd

7. Is a standard quadratic function even - odd or neither?
f(x)=3 square root x
even
(-infinity - 0]U[0 - +infinity)
Y=IxI

8. 4(x-7)=4x-28 is what type of an equation?
f(x) = x
identity
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.
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

9. What shape is the standard quadratic function?
undefined slope
parabola
negative slope
A V

10. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
(-infinity - +infinity)
The secant line

11. What is the range of an identity function?
in a quotient
When does a graph not define y as a function of x?
Y= then enter the number then press graph
(-infinity - +infinity)

12. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
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)
f(x^1)=f(x^2)
x math 3 graph

13. What type of slope do you have when m=? and the line is vertical?
no because you cannot have one domain pointing at two y's or ranges
undefined slope
Cannot be drawn in quizlet
(-infinity - +infinity)

14. What is the formula for an absolute value function?
same
f(x+h)-f(x)/h h cannot equal zero
f(x)=IxI
even

15. What type of line is an identity function?
same
Cannot be drawn in quizlet
even
45 degree angle

16. What is the formula for the standard cubic function?
A V
[0 -+infinity)
f(x)=x^3
The slope of a line containing two points

17. What are the algebra of functions?
0<c<1 - horizontal stretching
undefined slope
A line passing through two distinct points
(f+g) - (f-g) - (fg) - (f/g) all of x

18. Is an absolute value function even - odd or neither?
inconsistant
f(x+h)-f(x)/h h cannot equal zero
parabola - up one and right three
even

19. What is the vertex?
only one
(-infinity - +infinity)
The minimum or maximum points
x2-x1 because the demonaitor of a quotient can never equal zero

20. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
in a quotient
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 of g and g of f

21. What type of line is a constant function?
Y=IxI
horizontal
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

22. f(x) = x^2+3x+5 - what type of formula is this?
function notation
negative inverse
identity
x2-x1 because the demonaitor of a quotient can never equal zero

23. how many domains can you have pointing to one range?
As many as you like
only one
down
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

24. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
undefined slope
The single number y=
0<c<1 - horizontal stretching

25. What is the domain of an identity function?
Y=x^2 - graph
(-infinity - +infinity)
The secant line
f(x^1)=f(x^2)

26. What is a relation?
neither
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points
Y= then enter the number then press graph

27. Two vertical lines side by side are a symbol for what
no because you cannot have one domain pointing at two y's or ranges
As equations
parraelle line
identity

28. What is another way of writing the absolute value function?
Y=IxI
Square Root
2nd key - x^2 - graph
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.

29. x=no real numbers is what type of an equation?
inconsistant
The secant line
Line ascending to the right gradually
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.

30. What is another way to write f(x)=x - what type of function is this?
Yes because two x's or domains can point to one y
2nd key - x^2 - graph
Y=x - identity function
Cannot be drawn in quizlet

31. What equation does every line have? Discuss the variables.
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.
(-infinity - +infinity)
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

32. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
f of g and g of f
Conditional
negative inverse

33. How are functions normally written?
Yes - all the domains points to one range
horizontal
As equations
f(x+c) and f(x-c)

34. What is the point slope formula and when do you use it?
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The first set of components of an ordered pair
f(x)=x^3

35. What is the formula for an identity function?
C>1 - horizontal shrinking
f(x)=3 square root x
f(x) = x
Cannot be drawn in quizlet

36. What is the domain for the standard cubic function?
(-infinity - +infinity)
odd
Three odd - cube root - identity - standard cubic
Square Root

37. What are the calculator instructions for the cube root function?
negative inverse
parraelle line
math 4 x - graph
(-infinity - 0]U[0 - +infinity)

38. y=f(cx) - what does this formula represent?
Y
Conditional
postiive slope
C>1 - horizontal shrinking

39. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Line ascending to the right gradually
Y=x^2 - graph
horizontal left

40. What is the domain for an absolute value function?
f(x)=IxI
f(x)=+c and f(x)-c
Any set of ordered pairs
(-infinity - +infinity)

41. x=all real numbers is what type of an equation?
identity
f(x2)-f(x1) / x2-x1
horizontal
negative slope

42. What type of slope do vertical lines have?
neither
undefined
[0 -+infinity)
(-infinity - +infinity)

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

44. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=3 square root x
Piecewise
Line ascending to the right gradually

45. What is the formula in both horizontal stretching and horizontal shrinking?
only one
Equation of a line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined slope

46. Of the seven of algebra's common graph's how many are odd?
f(x)=suare root of x
Three odd - cube root - identity - standard cubic
horizontal
4 -6 -9

47. Draw or discuss a decreasing function
Cannot be drawn in quizlet
perpendicular line
(-infinity - +infinity)
When does a graph not define y as a function of x?

48. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
inconsistant
1 -2 -3
f(x^1)=f(x^2)
zero slope

49. What type of slope do you have when a line falls left to right and m<0?
negative slope
zero slope
m
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.

50. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
A V
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.
(-infinity - +infinity)