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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. Draw or discuss a decreasing 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
even
Cannot be drawn in quizlet
The slope of a line containing two points

2. 4(x-7)=4x-28 is what type of an equation?
f(x)=+c and f(x)-c
Mirror image neg quadrant to that of the positive quandrant
horizontal
identity

3. how many domains can you have pointing to one range?
Equation of a line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]U[0 - +infinity)
As many as you like

4. What is the slope of a perpendicular line?
(-infinity - +infinity)
(-infinity - +infinity)
negative inverse
A V

5. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
identity
m
undefined slope

6. x= a real number is what type of equation?
no because you cannot have one domain pointing at two y's or ranges
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

7. Standard absolute value - vertical shift formulas for positve and negative
As equations
f(x)=+c and f(x)-c
Y= then enter the number then press graph
negative inverse

8. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

9. What is the range of the constant function?
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
The single number y=
horizontal

10. Which direction does f(x+c) move
even
(-infinity - +infinity)
negative inverse
horizontal left

11. What is the vertical line formula?
4 -6 -9
x=a
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points

12. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
parraelle line
Yes - all the domains points to one range
Square Root

13. f(x) = x^2+3x+5 - what type of formula is this?
function notation
A line passing through two distinct points
odd
parraelle line

14. How are functions normally written?
As equations
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points

15. What is the range of a square root function?
Y=IxI
A line passing through two distinct points
[0 -+infinity)
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

16. What is the average rate of change formula?
20+.05x=5+.10x x=minutes
f(x2)-f(x1) / x2-x1
undefined
because the demintor of a quotient can never equal zero

17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
math 4 x - graph

18. Draw or discuss an increasing function
f(x) = x
Cannot be drawn in quizlet
odd
(-infinity - 0]U[0 - +infinity)

19. What is the domain and range of a constant function?
up
A V
(-infinity - +infinity)
f(x)=IxI

20. What is the formula for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=x^3
identity
Cannot be drawn in quizlet

21. x=no real numbers is what type of an equation?
f(x^1)=f(x^2)
Cannot be drawn in quizlet
(-infinity - +infinity)
inconsistant

22. what is a range?
inconsistant
f(x+c) and f(x-c)
f(x) = x
The second set of components of an ordered pair

23. Of the seven of algebra's common graph's how many are neither?
Square Root
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal right
down

24. What does the square root function look like on a graph?
perpendicular line
Line ascending to the right gradually
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1

25. What is another way of writing the absolute value function?
The minimum or maximum points
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x
Equation of a line

26. Of the seven of algebra's common graph's how many are odd?
negative inverse
zero slope
Three odd - cube root - identity - standard cubic
only one

27. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
f(x+c) and f(x-c)
perpendicular line
math 4 x - graph

28. What does linear equation mean?
4 -6 -9
Equation of a line
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

29. What shape is the standard quadratic function?
parabola
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=IxI
inconsitent

30. What is the point slope formula and when do you use it?
even
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph

31. What does the absolute value function look like?
Change in y / change in x = rise / run = y2-y1 / x2-x1
The minimum or maximum points
A V
(-infinity - +infinity)

32. What is the formula for to calculate the difference of a quotient function?
neither
f(x+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic
identity

33. What are two examples of composit functions?
(-infinity - +infinity)
f(x^1)=f(x^2)
f of g and g of f
[0 -+infinity)

34. What is a function?
no because you cannot have one domain pointing at two y's or ranges
horizontal
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)

35. x=all real numbers is what type of an equation?
As many as you like
identity
[0 -+infinity)
no because you cannot have one domain pointing at two y's or ranges

36. What is the range of an identity function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
inconsitent
As many as you like

37. how many ranges can you have for each domain?
4 -6 -9
odd
identity
only one

38. what can never equal zero in the slope formula and why?
perpendicular line
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

39. A flat line underlining one vertical line is a symbol for
x2-x1 because the demonaitor of a quotient can never equal zero
perpendicular line
Y=10
Set the x and y to zero and get the intercepts and then plot the points

40. Standard absolute value - horizontal shift formulas for left and right
(-infinity - 0]U[0 - +infinity)
even
f(x+c) and f(x-c)
even

41. What is the range for a standard quadratic function?
As many as you like
Yes because two x's or domains can point to one y
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually

42. What type of slope do you have when a line rises from left to right and m>0?
no because you cannot have one domain pointing at two y's or ranges
postiive slope
As many as you like
f(x2)-f(x1) / x2-x1

43. What is the formula for the cube root function?
f(x2)-f(x1) / x2-x1
f(x)=3 square root x
because the demintor of a quotient can never equal zero
even

44. $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
Any set of ordered pairs
zero slope
Cannot be drawn in quizlet

45. What are the four steps for solving a linear equation?
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
(-infinity - +infinity)
1 -2 -3

46. What is the line called that illustrates the straight line between the two points when showing average rate of change?
no because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x
The secant line
1 -2 -3

47. What is the range of the cube root function?
f(x)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
neither

48. What is the range for the standard cubic function?
down
(-infinity - +infinity)
postiive slope
x math 3 graph

49. What is the formula for the square root function?
Yes because two x's or domains can point to one y
f(x)=IxI
Line ascending to the right gradually
f(x)=suare root of x

50. What type of line is a constant function?
Yes because two x's or domains can point to one y
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 of g and g of f
horizontal