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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 slope?
Approach neg toward x through zero and above positive close to x
in a quotient
Change in y / change in x = rise / run = y2-y1 / x2-x1
odd

2. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
[0 -+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.
horizontal left

3. What type of slope do horizontal lines have?
function notation
The single number y=
even
same

4. What is the domain of an identity function?
f(x)=suare root of x
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=

5. What is the domain of a square root function?
[0 -+infinity)
inconsitent
odd
A V

6. What is the point slope formula and when do you use it?
perpendicular line
parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates

7. What is the range of the constant function?
The single number y=
horizontal
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. What is the domain for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x^1)=f(x^2)
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. What is the range of the cube root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x

10. x=no real numbers is what type of an equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsistant
f(x)=IxI
Any set of ordered pairs

11. 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 - +infinity)
f(x)=3 square root x
The minimum or maximum points

12. What direction does f(x)-c move in standard absolute value formula?
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
down
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
inconsistant
no because you cannot have one domain pointing at two y's or ranges
Absolute Value - Constant and Standard Quadratic
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

14. What can we substitute for f(x)?
identity
Cannot be drawn in quizlet
45 degree angle
Y

15. What is the formula for the standard cubic function?
negative slope
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=x^3
in a quotient

16. What is the horizontal line formula?
Y=b
The single number y=
Y
45 degree angle

17. What type of slope do vertical lines have?
undefined
Y= then enter the number then press graph
only one
45 degree angle

18. What are the calculator instructions for a square root function?
f(x)=IxI
undefined slope
2nd key - x^2 - graph
even

19. What points do you use to plot the inverse on a graph?
even
x^2
The minimum or maximum points
The opposite coordinates

20. What does linear equation mean?
As many as you like
math 4 x - graph
Equation of a line
Yes because two x's or domains can point to one y

21. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
same
odd
parraelle line

22. What is the slope intercept formula? Define all the variables.
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.
A V
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

23. What is the formula for the square root function?
horizontal right
C>1 - horizontal shrinking
f(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

24. What is a relation?
horizontal right
Absolute Value - Constant and Standard Quadratic
math 4 x - graph
Any set of ordered pairs

25. What is the standard quadratic 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
even
only one
x^2

26. Of the seven of algebra's common graph's how many are odd?
neither
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)

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

28. Is the square root function odd - even or neither?
neither
Cannot be drawn in quizlet
Yes - all the domains points to one range
f(x)=IxI

29. 4x+5x=8x is what type of an equation?
Conditional
(-infinity - +infinity)
Cannot be drawn in quizlet
undefined

30. What is the domain for the standard cubic function?
A line passing through two distinct points
horizontal left
(-infinity - +infinity)
The first set of components of an ordered pair

31. What is another way of writing the absolute value function?
inconsistant
only one
Y=IxI
The second set of components of an ordered pair

32. Which direction does f(x+c) move
horizontal left
f(x)=+c and f(x)-c
function notation
identity

33. In an identity function if f(10)=x than what is y?
(-infinity - +infinity)
Y=10
identity
Absolute Value - Constant and Standard Quadratic

34. What does the standard cubic function look like on a graph?
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)
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function

35. how many domains can you have pointing to one range?
Approach neg toward x through zero and above positive close to x
f of g and g of f
perpendicular line
As many as you like

36. How do you graph Ax+By+C=0?
The secant line
Set the x and y to zero and get the intercepts and then plot the points
horizontal left
even

37. What is a function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
x=a

38. Of the seven of algebra's common graph's how many are neither?
The first set of components of an ordered pair
Square Root
f of g and g of f
Y=x - identity function

39. What type of line is a constant function?
horizontal
same
up
Line ascending to the right gradually

40. What type of line is an identity function?
f(x)=3 square root x
Conditional
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
45 degree angle

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

42. What is the average rate of change formula?
same
f(x2)-f(x1) / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function

43. What is slope?
Cannot be drawn in quizlet
A line passing through two distinct points
C>1 - horizontal shrinking
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
C>1 - horizontal shrinking
inconsitent
Square Root

45. What does the absolute value function look like?
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsistant
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1

46. x= a real number is what type of equation?
horizontal
Conditional
Y= then enter the number then press graph
Cannot be drawn in quizlet

47. Draw or discuss a constant function
identity
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle
Cannot be drawn in quizlet

48. What is the domain and range of a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Piecewise
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
(-infinity - +infinity)

49. What are the four steps for solving a linear equation?
2nd key - x^2 - graph
x=a
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.
The single number y=

50. What is the formula for to calculate the difference of a quotient function?
Equation of a line
f(x+h)-f(x)/h h cannot equal zero
Piecewise
odd