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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. What type of slope do horizontal lines have?
Cannot be drawn in quizlet
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.
x2-x1 because the demonaitor of a quotient can never equal zero
same

2. What are the calculator instructions for the cube root function?
math 4 x - graph
The first set of components of an ordered pair
(-infinity - +infinity)
A V

3. What is the formula for to calculate the difference of a quotient function?
f(x)=3 square root x
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
even

4. Is the square root function odd - even or neither?
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x
neither
postiive slope

5. What is a relation?
As equations
Any set of ordered pairs
45 degree angle
undefined

6. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x)=suare root of x
20+.05x=5+.10x x=minutes
As equations
Yes - all the domains points to one range

7. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Y=10
Equation of a line
undefined

8. What are the calculator instructions for a square root function?
Three odd - cube root - identity - standard cubic
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.
2nd key - x^2 - graph
odd

9. what is a range?
The second set of components of an ordered pair
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. What is the formula in both horizontal stretching and horizontal shrinking?
Yes because two x's or domains can point to one y
The second set of components of an ordered pair
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Absolute Value - Constant and Standard Quadratic

11. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal
1 -2 -3
f(x^1)=f(x^2)

12. What is the domain for the standard cubic function?
(-infinity - +infinity)
parabola - up one and right three
Yes - all the domains points to one range
parraelle line

13. Is a constant function even - odd or neither?
f of g and g of f
The slope of a line containing two points
even
f(x)=suare root of x

14. What type of slope do vertical lines have?
f(x)=IxI
undefined
When does a graph not define y as a function of x?
(-infinity - +infinity)

15. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
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)=IxI
Equation of a line
x = the original sale price and the formula is x - .40x =$276

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
x is the hours to repair the boat. $1603-532=anwser/63 = x
A V
parraelle line

17. How are functions normally written?
As equations
(-infinity - 0]U[0 - +infinity)
Three odd - cube root - identity - standard cubic
undefined

18. 4(x-7)=4x-28 is what type of an equation?
identity
parraelle line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola

19. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
neither
parabola
f(x) = x

20. What type of slope do you have when m=? and the line is vertical?
horizontal
parabola - up one and right three
The second set of components of an ordered pair
undefined slope

21. What is the vertical line formula?
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
x=a
A V
(-infinity - 0]U[0 - +infinity)

22. What is a constant function?
f(x^1)=f(x^2)
Y=IxI
The opposite coordinates
function notation

23. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Cannot be drawn in quizlet
function notation
up

24. what is the letter used to represent slope?
The second set of components of an ordered pair
Yes because two x's or domains can point to one y
The first set of components of an ordered pair
m

25. how many domains can you have pointing to one range?
1 -2 -3
Y=10
As many as you like
Three odd - cube root - identity - standard cubic

26. 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?
Conditional
x is the hours to repair the boat. $1603-532=anwser/63 = x
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
horizontal left

27. Is a standard quadratic function even - odd or neither?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
even
Cannot be drawn in quizlet

28. what is the formula for slope?
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair
horizontal

29. What is the formula for the standard cubic function?
odd
(-infinity - +infinity)
0<c<1 - horizontal stretching
f(x)=x^3

30. what can never equal zero in the slope formula and why?
f(x)=3 square root x
The slope of a line containing two points
horizontal right
x2-x1 because the demonaitor of a quotient can never equal zero

31. What is the range for a standard quadratic function?
Equation of a line
The slope of a line containing two points
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

32. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
horizontal
(-infinity - +infinity)
[0 -+infinity)

33. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
neither
Three odd - cube root - identity - standard cubic
f(x)=suare root of x

34. Which direction does f(x)=+c move in standard absolute value formula?
Conditional
f(x^1)=f(x^2)
x is the hours to repair the boat. $1603-532=anwser/63 = x
up

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Yes - all the domains points to one range
[0 -+infinity)

36. What are the four steps for finding the inverse of a function?
undefined
The minimum or maximum points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line

37. Of the seven of algebra's common graph's how many are odd?
Y=x^2 - graph
The first set of components of an ordered pair
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic

38. x= a real number is what type of equation?
Set the x and y to zero and get the intercepts and then plot the points
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.
Cannot be drawn in quizlet
Conditional

39. When is the only time (-infinity - +infinity) is not the domain?
parabola
(-infinity - +infinity)
in a quotient
f(x)=+c and f(x)-c

40. What are the calculator instructions for the standard cubic function?
x math 3 graph
20+.05x=5+.10x x=minutes
f of g and g of f
C>1 - horizontal shrinking

41. What is the range of the constant function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
x^2
The single number y=
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

42. What are two examples of composit functions?
f of g and g of f
Y= then enter the number then press graph
0<c<1 - horizontal stretching
postiive slope

43. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
Yes because two x's or domains can point to one y
horizontal

44. Two vertical lines side by side are a symbol for what
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
parraelle line
1 -2 -3

45. What type of slope do you have when the line is horizontal and m=0?
Y=x - identity function
negative inverse
even
zero slope

46. What are the steps for solving a word problem?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)
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

47. What is the domain for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
f(x)=IxI
(-infinity - +infinity)
inconsistant

48. Which direction does f(x-c) move
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)
horizontal right
up

49. $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?
45 degree angle
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
Three odd - cube root - identity - standard cubic

50. What is the formula for an absolute value function?
even
f(x)=IxI
math 4 x - graph
x math 3 graph