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 another way to write f(x)=x - what type of function is this?
Y=x - identity function
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
f(x)=3 square root x

2. x=no real numbers is what type of an equation?
(-infinity - +infinity)
A line passing through two distinct points
inconsistant
f(x+c) and f(x-c)

3. Two vertical lines side by side are a symbol for what
45 degree angle
Three odd - cube root - identity - standard cubic
parraelle line
f(x2)-f(x1) / x2-x1

4. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points

5. What is slope?
identity
Mirror image neg quadrant to that of the positive quandrant
A line passing through two distinct points
f(x+c) and f(x-c)

6. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
The minimum or maximum points
f(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph

7. What type of line is an identity function?
45 degree angle
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
f(x^1)=f(x^2)
perpendicular line

8. Which direction does f(x+c) move
because the demintor of a quotient can never equal zero
parabola
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal left

9. Is the standard cubic function odd - even or neither?
negative inverse
math 4 x - graph
same
odd

10. What is a domain?
postiive slope
The first set of components of an ordered pair
(-infinity - +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.

11. What are the algebra of functions?
Y
f(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet

12. What is the average rate of change formula?
odd
horizontal right
negative inverse
f(x2)-f(x1) / x2-x1

13. f(x) = x^2+3x+5 - what type of formula is this?
Y=IxI
because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
function notation

14. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
f(x)=suare root of x
20+.05x=5+.10x x=minutes
Yes because two x's or domains can point to one y

15. how many ranges can you have for each domain?
only one
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
Change in y / change in x = rise / run = y2-y1 / x2-x1

16. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle
Three odd - cube root - identity - standard cubic

17. Draw or discuss an increasing function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal
x^2
Cannot be drawn in quizlet

18. What is the domain for the standard cubic function?
x = the original sale price and the formula is x - .40x =$276
f(x+c) and f(x-c)
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

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

20. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=IxI
Yes - all the domains points to one range
Y= then enter the number then press graph
The slope of a line containing two points

21. What type of line is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
horizontal
(-infinity - +infinity)
As many as you like

22. What are the four steps for finding the inverse of a function?
Absolute Value - Constant and Standard Quadratic
parabola - up one and right three
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

23. 4(x-7)=4x-28 is what type of an equation?
x^2
undefined
f(x)=suare root of x
identity

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
f(x)=+c and f(x)-c
identity
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

25. What does the standard cubic function look like on a graph?
f(x)=IxI
Mirror image neg quadrant to that of the positive quandrant
horizontal
Y=b

26. What type of slope do you have when a line falls left to right and m<0?
negative slope
math 4 x - graph
negative inverse
parraelle line

27. What is the vertical line formula?
x=a
The first set of components of an ordered pair
f(x)=3 square root x
Yes - all the domains points to one range

28. what is the letter used to represent slope?
m
parabola - up one and right three
Y=x^2 - graph
x^2

29. Is a constant function even - odd or neither?
even
in a quotient
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

30. What are the steps for solving a word problem?
As equations
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
in a quotient

31. x= a real number is what type of equation?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Conditional
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

32. How do you calculate a constant function in your calculator?
(f+g) - (f-g) - (fg) - (f/g) all of x
The opposite coordinates
Y= then enter the number then press graph
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

33. What is the range of the cube root function?
20+.05x=5+.10x x=minutes
Equation of a line
(-infinity - +infinity)
Cannot be drawn in quizlet

34. what is the formula for slope?
Three odd - cube root - identity - standard cubic
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Change in y / change in x = rise / run = y2-y1 / x2-x1
C>1 - horizontal shrinking

35. What is the domain of a square root function?
negative slope
(-infinity - +infinity)
[0 -+infinity)
down

36. What is the formula for an identity function?
f(x) = x
horizontal left
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

37. Which direction does f(x-c) move
horizontal right
C>1 - horizontal shrinking
f(x)=suare root of x
identity

38. What is the formula for the cube root function?
Y=x - identity function
f(x)=3 square root x
inconsitent
When does a graph not define y as a function of x?

39. Why can h not equal zero in the difference of a quotient function 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
because the demintor of a quotient can never equal zero
same
inconsistant

40. What is the range of an identity function?
(-infinity - +infinity)
f(x+c) and f(x-c)
f(x^1)=f(x^2)
perpendicular line

41. Standard absolute value - horizontal shift formulas for left and right
x2-x1 because the demonaitor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
f(x+c) and f(x-c)
(-infinity - +infinity)

42. What are the calculator instructions for the standard cubic function?
Yes because two x's or domains can point to one y
parabola - up one and right three
x math 3 graph
1 -2 -3

43. Of the seven of algebra's common graph's how many are neither?
Absolute Value - Constant and Standard Quadratic
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root
As equations

44. What is the domain of an identity function?
Cannot be drawn in quizlet
down
[0 -+infinity)
(-infinity - +infinity)

45. How would this formula move f(x)=(x+1)^2-3
postiive slope
odd
Yes - all the domains points to one range
parabola - up one and right three

46. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
f of g and g of f
horizontal left
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

47. What does the square root function look like on a graph?
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
0<c<1 - horizontal stretching
45 degree angle

48. What type of function would you use to calculate the most advantageous cell phone plan?
even
horizontal left
Piecewise
2nd key - x^2 - graph

49. what can never equal zero in the slope formula and why?
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 -6 -9
0<c<1 - horizontal stretching
x2-x1 because the demonaitor of a quotient can never equal zero

50. What is the vertex?
parabola
down
horizontal right
The minimum or maximum points