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?
2nd key - x^2 - graph
Conditional
2nd catalog (zero key -) abs(x) - graph
f(x+h)-f(x)/h h cannot equal zero

2. What type of line is a constant function?
odd
only one
horizontal
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.

3. What is the formula for the cube root function?
f(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
f(x)=3 square root x

4. What is the range of an identity 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
math 4 x - graph
parabola - up one and right three
(-infinity - +infinity)

5. What is the domain of the cube root function?
(-infinity - +infinity)
Any set of ordered pairs
Cannot be drawn in quizlet
parabola - up one and right three

6. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
odd

7. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes
Y
Equation of a line

8. A flat line underlining one vertical line is a symbol for
(-infinity - 0]U[0 - +infinity)
perpendicular line
x = the original sale price and the formula is x - .40x =$276
odd

9. What type of slope do vertical lines have?
Conditional
undefined
(-infinity - +infinity)
f(x)=x^3

10. y=f(cx) what does this formula represent?
undefined slope
[0 -+infinity)
0<c<1 - horizontal stretching
(-infinity - +infinity)

11. What is a relation?
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
(-infinity - +infinity)
Any set of ordered pairs

12. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
2nd catalog (zero key -) abs(x) - graph
The secant line
x math 3 graph

13. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - 0]U[0 - +infinity)
Conditional
Piecewise
(-infinity - +infinity)

14. How do you calculate a constant function in your calculator?
neither
Y= then enter the number then press graph
(-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

15. what is the letter used to represent slope?
A line passing through two distinct points
parraelle line
m
(-infinity - +infinity)

16. Is a constant function even - odd or neither?
postiive slope
The opposite coordinates
(-infinity - +infinity)
even

17. 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
Equation of a line
A line passing through two distinct points
horizontal

18. What is another way of writing the absolute value function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
Line ascending to the right gradually

19. What is an identity function?
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
undefined
[0 -+infinity)

20. x=no real numbers is what type of an equation?
function notation
inconsistant
[0 -+infinity)
Any set of ordered pairs

21. What are the calculator instructions for the cube root function?
math 4 x - graph
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3
x^2

22. x=all real numbers is what type of an equation?
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
parabola - up one and right three
Change in y / change in x = rise / run = y2-y1 / x2-x1
identity

23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
down
Yes because two x's or domains can point to one y
Conditional
1 -2 -3

24. What does the standard cubic function look like on a graph?
f(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
f(x2)-f(x1) / x2-x1
Y

25. 4x+5x=8x is what type of an equation?
inconsistant
The slope of a line containing two points
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
Conditional

26. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
same
f(x^1)=f(x^2)
Yes because two x's or domains can point to one y

27. y=f(cx) - what does this formula represent?
Conditional
C>1 - horizontal shrinking
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.
Approach neg toward x through zero and above positive close to x

28. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
up
x = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

29. What is the vertical line formula?
even
x=a
(-infinity - +infinity)
4 -6 -9

30. Two vertical lines side by side are a symbol for what
Piecewise
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.
parraelle line
Y=10

31. 4(x-7)=4x-28 is what type of an equation?
parabola - up one and right three
Square Root
identity
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

32. What shape is the standard quadratic function?
Piecewise
As equations
parabola
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

33. What is a constant function?
negative inverse
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
f(x^1)=f(x^2)

34. What is the vertex?
f(x)=suare root of x
The minimum or maximum points
horizontal
(-infinity - +infinity)

35. What is the formula for the square root function?
f(x)=suare root of x
f(x)=IxI
C>1 - horizontal shrinking
even

36. Which direction does f(x-c) move
horizontal right
f(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
Any set of ordered pairs

37. What are the calculator instructions for a square root function?
20+.05x=5+.10x x=minutes
[0 -+infinity)
(-infinity - +infinity)
2nd key - x^2 - graph

38. What are the algebra of functions?
because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
(-infinity - +infinity)

39. Why can h not equal zero in the difference of a quotient function formula?
x math 3 graph
because the demintor of a quotient can never equal zero
down
identity

40. 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.
Y=b
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)

41. What is the domain of an identity function?
(-infinity - +infinity)
up
Three odd - cube root - identity - standard cubic
The minimum or maximum points

42. Is an absolute value function even - odd or neither?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
even
negative slope

43. Of the seven of algebra's common graph's how many are neither?
2nd catalog (zero key -) abs(x) - graph
Square Root
f(x)=x^3
(-infinity - +infinity)

44. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x2)-f(x1) / x2-x1
x math 3 graph

45. 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

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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.
45 degree angle
Piecewise
Yes - all the domains points to one range

47. What is the domain of a square root function?
x math 3 graph
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
same
[0 -+infinity)

48. What is the range for an absolute value function?
Y=x - identity function
odd
(-infinity - 0]U[0 - +infinity)
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.

49. how many ranges can you have for each domain?
f(x) = x
(-infinity - 0]U[0 - +infinity)
only one
f of g and g of f

50. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
f(x)=+c and f(x)-c
Yes because two x's or domains can point to one y