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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. Is the standard cubic function odd - even or neither?
(-infinity - 0]U[0 - +infinity)
odd
Y=IxI
horizontal

2. Which direction does f(x)=+c move in standard absolute value formula?
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
up

3. What are the steps for solving a word problem?
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
1 -2 -3
Yes - all the domains points to one range
2nd key - x^2 - graph

4. f(x) = x^2+3x+5 - what type of formula is this?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
function notation

5. What type of slope do horizontal lines have?
As equations
same
The first set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero

6. What can we substitute for f(x)?
Y=IxI
parraelle line
2nd key - x^2 - graph
Y

7. $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?
Line ascending to the right gradually
f(x+c) and f(x-c)
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
45 degree angle

8. x=all real numbers is what type of an equation?
negative inverse
identity
2nd key - x^2 - graph
zero slope

9. Is an identity function even - odd or neither?
Y=x - identity function
Yes because two x's or domains can point to one y
The minimum or maximum points
odd

10. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
negative inverse
20+.05x=5+.10x x=minutes

11. 4(x-7)=4x+28 is what type of an equation?
The first set of components of an ordered pair
inconsitent
x^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

12. What direction does f(x)-c move in standard absolute value formula?
negative slope
0<c<1 - horizontal stretching
As equations
down

13. What is the range for an absolute value function?
neither
(-infinity - 0]U[0 - +infinity)
45 degree angle
Y=x^2 - graph

14. What does the absolute value function look like?
A V
Y=x^2 - graph
Set the x and y to zero and get the intercepts and then plot the points
identity

15. What is an identity function?
45 degree angle
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
horizontal

16. What does linear equation mean?
down
f(x)=IxI
Equation of a line
even

17. What type of slope do you have when m=? and the line is vertical?
undefined slope
m
parraelle line
4 -6 -9

18. What is slope?
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

19. What is the formula for an absolute value function?
inconsistant
f(x)=+c and f(x)-c
f(x)=IxI
[0 -+infinity)

20. Is the square root function odd - even or neither?
neither
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Y=IxI

21. What is the domain of an identity function?
(-infinity - +infinity)
perpendicular line
f(x)=x^3
f(x+c) and f(x-c)

22. What is the domain for a standard quadratic function?
The opposite coordinates
C>1 - horizontal shrinking
even
(-infinity - +infinity)

23. What is the formula for the standard cubic function?
Yes because two x's or domains can point to one y
f(x)=x^3
Conditional
(-infinity - +infinity)

24. What equation does every line have? Discuss the variables.
horizontal right
x math 3 graph
because the demintor of a quotient can never equal zero
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.

25. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
m
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x is the hours to repair the boat. $1603-532=anwser/63 = x
The second set of components of an ordered pair

26. What does the graph of the cube root function look like on the graph?
As many as you like
Conditional
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x

27. What type of slope do you have when a line falls left to right and m<0?
perpendicular line
negative slope
The opposite coordinates
(-infinity - +infinity)

28. What is the domain for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
up
(-infinity - +infinity)

29. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x) = x
Y= then enter the number then press graph
The opposite coordinates

30. What is the vertical line test?
f(x)=x^3
When does a graph not define y as a function of x?
Conditional
(-infinity - +infinity)

31. Is a standard quadratic function even - odd or neither?
Y=IxI
parabola
Y=10
even

32. What is the domain of the cube root 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
(-infinity - +infinity)
postiive slope

33. How are functions normally written?
x = the original sale price and the formula is x - .40x =$276
As equations
f(x) = x
Approach neg toward x through zero and above positive close to x

34. What is a domain?
x = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
The first set of components of an ordered pair
odd

35. Draw or discuss a constant function
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
Cannot be drawn in quizlet
Square Root
negative slope

36. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)

37. What is the average rate of change formula?
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.
A line passing through two distinct points
f(x2)-f(x1) / x2-x1
4 -6 -9

38. What is the range of a square root function?
[0 -+infinity)
identity
The slope of a line containing two points
Y= then enter the number then press graph

39. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
The minimum or maximum points

40. What is the range of an identity function?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3
identity

41. What is the vertical line formula?
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
even
x=a

42. What is the formula for the square root function?
inconsistant
(-infinity - +infinity)
f(x)=suare root of x
zero slope

43. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
even
inconsitent
Y=x^2 - graph

44. x=no real numbers is what type of an equation?
Cannot be drawn in quizlet
Y= then enter the number then press graph
inconsistant
The single number y=

45. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
horizontal right
horizontal
Conditional

46. What type of slope do you have when the line is horizontal and m=0?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
zero slope
parraelle line

47. Of the seven of algebra's common graph's how many are neither?
inconsistant
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Square Root

48. What is a constant function?
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
The secant line
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)

49. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The second set of components of an ordered pair
The secant line
f(x+c) and f(x-c)
x math 3 graph

50. What type of slope do vertical lines have?
undefined
(-infinity - +infinity)
even
f(x2)-f(x1) / x2-x1