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. A flat line underlining one vertical line is a symbol for
perpendicular line
Square Root
down
x=a

2. Which direction does f(x+c) move
horizontal left
only one
(-infinity - +infinity)
Piecewise

3. What type of line is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
zero slope
(-infinity - +infinity)
horizontal

4. Draw or discuss a constant function
(f+g) - (f-g) - (fg) - (f/g) all of x
even
parabola - up one and right three
Cannot be drawn in quizlet

5. Which direction does f(x)=+c move in standard absolute value formula?
horizontal
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
up

6. What is the domain of the cube root function?
undefined
Y= then enter the number then press graph
Y=x - identity function
(-infinity - +infinity)

7. What type of slope do you have when m=? and the line is vertical?
undefined slope
Cannot be drawn in quizlet
The minimum or maximum points
Absolute Value - Constant and Standard Quadratic

8. y=f(cx) - what does this formula represent?
f(x)=3 square root x
C>1 - horizontal shrinking
Any set of ordered pairs
2nd key - x^2 - graph

9. What is the vertical line formula?
(-infinity - +infinity)
x=a
f(x^1)=f(x^2)
neither

10. Standard absolute value - horizontal shift formulas for left and right
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph
f(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

11. What is the vertical line test?
When does a graph not define y as a function of x?
m
As many as you like
The second set of components of an ordered pair

12. What type of slope do horizontal lines have?
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
same
C>1 - horizontal shrinking
parraelle line

13. Is an identity function even - odd or neither?
odd
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Piecewise

14. x=no real numbers is what type of an equation?
f(x)=x^3
inconsitent
inconsistant
f(x)=3 square root x

15. What type of slope do you have when a line rises from left to right and m>0?
Y=IxI
postiive slope
horizontal left
45 degree angle

16. What is the formula for the standard cubic function?
f(x)=x^3
f(x+h)-f(x)/h h cannot equal zero
Piecewise
The first set of components of an ordered pair

17. What is an identity function?
1 -2 -3
45 degree angle
f(x)=IxI
A V

18. 4(x-7)=4x+28 is what type of an equation?
down
f(x) = x
Y=x^2 - graph
inconsitent

19. f(x) = x^2+3x+5 - what type of formula is this?
function notation
Conditional
Yes because two x's or domains can point to one y
same

20. What can we substitute for f(x)?
undefined slope
Y
horizontal
f(x+h)-f(x)/h h cannot equal zero

21. x= a real number is what type of equation?
Three odd - cube root - identity - standard cubic
As many as you like
Conditional
horizontal

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

23. What is slope?
As many as you like
As equations
(-infinity - +infinity)
A line passing through two distinct points

24. What shape is the standard quadratic function?
When does a graph not define y as a function of x?
parabola
Y=b
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

25. Is the square root function odd - even or neither?
1 -2 -3
x=a
neither
Y

26. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
down
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+c) and f(x-c)

27. How would this formula move f(x)=(x+1)^2-3
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= then enter the number then press graph
parabola - up one and right three
x=a

28. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
inconsistant
Three odd - cube root - identity - standard cubic
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet

29. What equation does every line have? Discuss the variables.
undefined slope
undefined
parabola - up one and right three
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.

30. What type of slope do vertical lines have?
Yes because two x's or domains can point to one y
undefined
Three odd - cube root - identity - standard cubic
The secant line

31. What are the four steps for finding the inverse of a function?
Any set of ordered pairs
Yes - all the domains points to one range
Yes because two x's or domains can point to one y
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

32. What is the domain of a square root function?
Three odd - cube root - identity - standard cubic
f(x2)-f(x1) / x2-x1
f(x)=suare root of x
[0 -+infinity)

33. What is the range of the constant 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.
The single number y=
perpendicular line
Cannot be drawn in quizlet

34. Is the standard cubic function odd - even or neither?
up
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
odd

35. What does the graph of the cube root function look like on the graph?
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
(-infinity - 0]U[0 - +infinity)
x = the original sale price and the formula is x - .40x =$276

36. What is the range of an identity function?
parabola - up one and right three
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant

37. What are two examples of composit functions?
f of g and g of f
Yes - all the domains points to one range
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=IxI

38. how many domains can you have pointing to one range?
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
As many as you like
The first set of components of an ordered pair
Cannot be drawn in quizlet

39. What is the range for the standard cubic 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.
(-infinity - +infinity)
The minimum or maximum points
f(x^1)=f(x^2)

40. What does the absolute value function look like?
(-infinity - 0]U[0 - +infinity)
Yes because two x's or domains can point to one y
A V
The minimum or maximum points

41. What is the formula in both horizontal stretching and horizontal shrinking?
function notation
parraelle line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

42. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=suare root of x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

43. In an identity function if f(10)=x than what is y?
Y=10
zero slope
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

44. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
x=a
(-infinity - +infinity)
parabola

45. y=f(cx) what does this formula represent?
(-infinity - +infinity)
4 -6 -9
Square Root
0<c<1 - horizontal stretching

46. What is the range of the cube root function?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
Y=IxI

47. What does the standard cubic function look like on a graph?
identity
undefined slope
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant

48. how many ranges can you have for each domain?
horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
only one
Y= then enter the number then press graph

49. What is a relation?
[0 -+infinity)
Piecewise
even
Any set of ordered pairs

50. What are the calculator instructions for a square root function?
identity
2nd key - x^2 - graph
(-infinity - +infinity)
negative slope