Test your basic knowledge |

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 to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
4 -6 -9

2. What is the formula for the cube root function?
[0 -+infinity)
f(x)=3 square root x
parraelle line
horizontal

3. what can never equal zero in the slope formula and why?
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.

4. x= a real number is what type of equation?
Conditional
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
As many as you like

5. What is the formula for an absolute value function?
(-infinity - +infinity)
Any set of ordered pairs
x = the original sale price and the formula is x - .40x =$276
f(x)=IxI

6. What are the four steps for solving a linear equation?
The single number y=
identity
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 - 0]U[0 - +infinity)

7. How do you calculate a constant function in your calculator?
As equations
Y= then enter the number then press graph
up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
(-infinity - +infinity)
[0 -+infinity)
even

9. x=all real numbers is what type of an equation?
identity
horizontal right
f(x)=IxI
horizontal

10. What does the standard cubic function look like on a graph?
f(x)=x^3
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y

11. What does the square root function look like on a graph?
Y=x - identity function
Line ascending to the right gradually
As many as you like
undefined

12. What is the point slope formula and when do you use it?
Absolute Value - Constant and Standard Quadratic
even
(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

13. x=no real numbers is what type of an equation?
(-infinity - +infinity)
[0 -+infinity)
Square Root
inconsistant

14. Is the standard cubic function odd - even or neither?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=IxI
odd
f(x)=IxI

15. What is another way to write f(x)=x - what type of function is this?
(-infinity - 0]U[0 - +infinity)
Y=x - identity function
x is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic

16. What is the range for the standard cubic 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
(-infinity - +infinity)
m

17. What is the range of the cube root function?
(-infinity - +infinity)
A line passing through two distinct points
math 4 x - graph
parabola

18. How do you graph Ax+By+C=0?
C>1 - horizontal shrinking
function notation
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x

19. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Three odd - cube root - identity - standard cubic
As many as you like
Cannot be drawn in quizlet
1 -2 -3

20. What is the horizontal line formula?
Y=b
in a quotient
Y
only one

21. What is the formula for the square root function?
Y=x - identity function
horizontal
only one
f(x)=suare root of x

22. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Square Root
20+.05x=5+.10x x=minutes
Y=10
math 4 x - graph

23. What equation does every line have? Discuss the variables.
parraelle line
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.
Y= then enter the number then press graph
(-infinity - +infinity)

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

25. Is an identity function even - odd or neither?
neither
negative inverse
negative slope
odd

26. Draw or discuss a decreasing function
The first set of components of an ordered pair
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
neither

27. What is the slope of a perpendicular line?
(-infinity - +infinity)
only one
negative inverse
down

28. What is a function?
function notation
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x = the original sale price and the formula is x - .40x =$276
horizontal right

29. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
C>1 - horizontal shrinking
f(x)=suare root of x
because the demintor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Conditional
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
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

31. What is the formula in both horizontal stretching and horizontal shrinking?
negative slope
As equations
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

32. what is the formula for slope?
Yes because two x's or domains can point to one y
zero slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

33. How are functions normally written?
As equations
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
negative inverse

34. What is the standard quadratic function?
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
x=a
x^2

35. What direction does f(x)-c move in standard absolute value formula?
m
down
inconsistant
undefined

36. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x+h)-f(x)/h h cannot equal zero
negative inverse
parabola

37. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
negative slope
1 -2 -3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

38. y=f(cx) what does this formula represent?
45 degree angle
0<c<1 - horizontal stretching
horizontal
even

39. Of the seven of algebra's common graph's how many are neither?
even
[0 -+infinity)
Square Root
because the demintor of a quotient can never equal zero

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

41. What type of slope do vertical lines have?
negative slope
Cannot be drawn in quizlet
undefined
Y=IxI

42. What shape is the standard quadratic function?
undefined slope
parabola
The minimum or maximum points
(-infinity - 0]U[0 - +infinity)

43. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=x^2 - graph
x math 3 graph
Yes - all the domains points to one range
(-infinity - +infinity)

44. Which direction does f(x-c) move
postiive slope
even
45 degree angle
horizontal right

45. What are the steps for solving a word problem?
negative inverse
function notation
(-infinity - +infinity)
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

46. A flat line underlining one vertical line is a symbol for
perpendicular line
horizontal left
A V
even

47. What is the vertical line formula?
x=a
horizontal left
even
horizontal right

48. What is the range of the constant function?
x^2
identity
(-infinity - +infinity)
The single number y=

49. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
perpendicular line
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points

50. What is the formula for the standard cubic function?
horizontal
function notation
f(x2)-f(x1) / x2-x1
f(x)=x^3