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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 type of slope do you have when m=? and the line is vertical?
The first set of components of an ordered pair
function notation
undefined slope
Yes - all the domains points to one range

2. What is slope?
even
A line passing through two distinct points
Approach neg toward x through zero and above positive close to x
same

3. What type of slope do horizontal lines have?
even
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
Mirror image neg quadrant to that of the positive quandrant
same

4. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
When does a graph not define y as a function of x?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

5. Of the seven of algebra's common graph's how many are even?
odd
0<c<1 - horizontal stretching
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic

6. Is the square root function odd - even or neither?
The opposite coordinates
neither
x=a
(-infinity - 0]U[0 - +infinity)

7. Of the seven of algebra's common graph's how many are neither?
Square Root
(-infinity - 0]U[0 - +infinity)
parabola
0<c<1 - horizontal stretching

8. what is the letter used to represent slope?
f(x)=IxI
in a quotient
m
As many as you like

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

10. What is the domain for the standard cubic function?
Piecewise
(-infinity - +infinity)
When does a graph not define y as a function of x?
even

11. What does the absolute value function look like?
(-infinity - +infinity)
zero slope
A V
45 degree angle

12. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
zero slope
f of g and g of f

13. What is the range of the cube root function?
(-infinity - +infinity)
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line

14. What are two examples of composit functions?
1 -2 -3
f of g and g of f
perpendicular line
Y=x - identity function

15. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Piecewise
x math 3 graph
up

16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsitent
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x^1)=f(x^2)
horizontal left
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

18. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=suare root of x
Y= then enter the number then press graph
function notation
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

19. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
Y=x^2 - graph
parabola - up one and right three
x is the hours to repair the boat. $1603-532=anwser/63 = x

20. How do you calculate a constant function in your calculator?
The second set of components of an ordered pair
horizontal right
Y= then enter the number then press graph
(-infinity - +infinity)

21. What is the slope of a perpendicular line?
negative inverse
Piecewise
odd
Y

22. What points do you use to plot the inverse on a graph?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
Yes - all the domains points to one range
The opposite coordinates

23. What are the algebra of functions?
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Conditional

24. What is a domain?
45 degree angle
45 degree angle
The first set of components of an ordered pair
Y=b

25. What is the vertex?
Y=10
x2-x1 because the demonaitor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic
The minimum or maximum points

26. What does linear equation mean?
inconsistant
Equation of a line
parraelle line
x = the original sale price and the formula is x - .40x =$276

27. What type of line is an identity function?
45 degree angle
horizontal
Piecewise
Cannot be drawn in quizlet

28. 4(x-7)=4x+28 is what type of an equation?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
2nd key - x^2 - graph
inconsitent

29. What is the domain of an identity function?
up
(-infinity - +infinity)
2nd key - x^2 - graph
in a quotient

30. What type of slope do you have when a line rises from left to right and m>0?
function notation
postiive slope
f(x)=3 square root x
2nd key - x^2 - graph

31. Is an absolute value function even - odd or neither?
negative slope
even
f of g and g of f
f(x+h)-f(x)/h h cannot equal zero

32. y=f(cx) - what does this formula represent?
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
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant
C>1 - horizontal shrinking

33. What does the square root function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
(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
C>1 - horizontal shrinking

34. How are functions normally written?
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.
As equations
only one
Square Root

35. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=IxI
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.
Absolute Value - Constant and Standard Quadratic

36. What is a constant function?
(-infinity - +infinity)
undefined slope
f(x^1)=f(x^2)
parabola

37. What is the domain of a square root function?
in a quotient
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
[0 -+infinity)

38. How do you graph Ax+By+C=0?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
horizontal left

39. What is the formula for the cube root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Yes because two x's or domains can point to one y
only one
f(x)=3 square root x

40. What does the standard cubic function look like on a graph?
down
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
Y= then enter the number then press graph

41. What does the graph of the cube root function look like on the graph?
perpendicular line
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
(-infinity - +infinity)

42. Which direction does f(x+c) move
horizontal left
f(x)=suare root of x
zero slope
(-infinity - +infinity)

43. What is the horizontal line formula?
even
Y=b
Y
f(x) = x

44. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
(-infinity - +infinity)

45. What is the formula for the standard cubic function?
45 degree angle
(-infinity - +infinity)
f(x)=x^3
horizontal left

46. Is a constant function even - odd or neither?
parraelle line
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)
even

47. $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?
odd
(-infinity - +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
Any set of ordered pairs

48. What is the domain for an absolute value function?
(-infinity - +infinity)
down
x = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph

49. Is the standard cubic function odd - even or neither?
4 -6 -9
Three odd - cube root - identity - standard cubic
horizontal
odd

50. What type of slope do you have when the line is horizontal and m=0?
zero slope
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
in a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph