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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. y=f(cx) - what does this formula represent?
x=a
C>1 - horizontal shrinking
up
Y= then enter the number then press graph

2. y=f(cx) what does this formula represent?
(-infinity - +infinity)
math 4 x - graph
0<c<1 - horizontal stretching
inconsitent

3. What is the slope of a perpendicular line?
f(x)=suare root of x
negative inverse
f(x+h)-f(x)/h h cannot equal zero
odd

4. What is the standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
even
x^2
f(x^1)=f(x^2)

5. What is the range of a square root function?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
parraelle line
[0 -+infinity)

6. What type of slope do vertical lines have?
f(x)=suare root of x
zero slope
undefined
1 -2 -3

7. What are the calculator instructions for a square root function?
(-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.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
2nd key - x^2 - graph

8. 4x+5x=8x is what type of an equation?
inconsistant
Cannot be drawn in quizlet
Conditional
When does a graph not define y as a function of x?

9. A flat line underlining one vertical line is a symbol for
Y=b
f(x)=IxI
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
perpendicular line

10. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=suare root of x
horizontal left
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)

11. How do you calculate a constant function in your calculator?
identity
horizontal left
Y=10
Y= then enter the number then press graph

12. What is the domain for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
parraelle line
The minimum or maximum points
(-infinity - +infinity)

13. What is the vertical line test?
When does a graph not define y as a function of x?
inconsitent
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

14. Is an identity function even - odd or neither?
4 -6 -9
Piecewise
odd
Any set of ordered pairs

15. $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?
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
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
identity
zero slope

16. What is the range for the standard cubic function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph
identity

17. x=no real numbers is what type of an equation?
inconsistant
The second set of components of an ordered pair
horizontal
(-infinity - 0]U[0 - +infinity)

18. What type of slope do you have when m=? and the line is vertical?
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.
even
m
undefined slope

19. What is slope?
Cannot be drawn in quizlet
A line passing through two distinct points
Conditional
m

20. What is a constant function?
f(x)=x^3
x math 3 graph
f(x^1)=f(x^2)
f(x)=suare root of x

21. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
x=a
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
[0 -+infinity)

22. Is a standard quadratic function even - odd or neither?
Square Root
even
odd
The first set of components of an ordered pair

23. What equation does every line have? Discuss the variables.
f(x)=x^3
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.
inconsitent
negative inverse

24. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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.
undefined
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
inconsitent

25. Draw or discuss a constant function
x is the hours to repair the boat. $1603-532=anwser/63 = x
x=a
Cannot be drawn in quizlet
parabola

26. what is a range?
zero slope
The second set of components of an ordered pair
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.
perpendicular line

27. Two vertical lines side by side are a symbol for what
only one
Mirror image neg quadrant to that of the positive quandrant
neither
parraelle line

28. Which direction does f(x-c) move
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
horizontal right

29. What are the calculator instructions for the standard cubic function?
2nd key - x^2 - graph
Mirror image neg quadrant to that of the positive quandrant
x math 3 graph
f(x)=suare root of x

30. how many domains can you have pointing to one range?
The second set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276
x2-x1 because the demonaitor of a quotient can never equal zero
As many as you like

31. What is an identity function?
(-infinity - +infinity)
(-infinity - +infinity)
undefined
45 degree angle

32. What are two examples of composit functions?
f of g and g of f
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

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

34. What are the steps for solving a word problem?
f(x2)-f(x1) / x2-x1
C>1 - horizontal shrinking
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
Y=x - identity function

35. What does the graph of the cube root function look like on the graph?
f(x)=suare root of x
negative inverse
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x

36. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Set the x and y to zero and get the intercepts and then plot the points
f(x^1)=f(x^2)
Y=IxI
The secant line

37. Which direction does f(x)=+c move in standard absolute value formula?
up
45 degree angle
parabola
Conditional

38. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)
odd
f(x)=+c and f(x)-c

39. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
x = the original sale price and the formula is x - .40x =$276
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

40. what is the letter used to represent slope?
m
horizontal left
0<c<1 - horizontal stretching
f(x)=suare root of x

41. What is another way of writing the absolute value function?
Y=IxI
same
A V
Cannot be drawn in quizlet

42. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
f(x)=x^3
in a quotient
The first set of components of an ordered pair

43. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x^1)=f(x^2)
f(x)=suare root of x
Equation of a line
20+.05x=5+.10x x=minutes

44. 4(x-7)=4x-28 is what type of an equation?
Cannot be drawn in quizlet
identity
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points

45. What is the slope intercept formula? Define all the variables.
even
(-infinity - +infinity)
odd
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

46. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
m
identity
no because you cannot have one domain pointing at two y's or ranges

47. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
postiive slope
f(x2)-f(x1) / x2-x1
Square Root

48. What points do you use to plot the inverse on a graph?
zero slope
even
Conditional
The opposite coordinates

49. What is a domain?
f(x) = x
The first set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
no because you cannot have one domain pointing at two y's or ranges

50. What is the range of the cube root function?
Cannot be drawn in quizlet
Y
(-infinity - +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