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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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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 square root function odd - even or neither?
neither
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
inconsistant
odd

2. How would this formula move f(x)=(x+1)^2-3
Line ascending to the right gradually
inconsistant
0<c<1 - horizontal stretching
parabola - up one and right three

3. What does linear equation mean?
20+.05x=5+.10x x=minutes
Square Root
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line

4. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
f of g and g of f
Y=x - identity function

5. What type of slope do vertical lines have?
postiive slope
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.
undefined
A V

6. y=f(cx) what does this formula represent?
math 4 x - graph
0<c<1 - horizontal stretching
C>1 - horizontal shrinking
4 -6 -9

7. When is the only time (-infinity - +infinity) is not the domain?
up
in a quotient
x=a
(-infinity - +infinity)

8. What is the vertical line formula?
parraelle line
negative inverse
negative slope
x=a

9. What is the range of the cube root function?
Y
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola

10. Of the seven of algebra's common graph's how many are neither?
horizontal
Y=IxI
neither
Square Root

11. x= a real number is what type of equation?
Conditional
f(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant
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.

12. What type of slope do horizontal lines have?
f(x2)-f(x1) / x2-x1
The minimum or maximum points
undefined slope
same

13. Draw or discuss an increasing function
f(x+h)-f(x)/h h cannot equal zero
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
x=a

14. x^2+y=4 is this a function? Why?
x math 3 graph
Yes because two x's or domains can point to one y
f(x)=suare root of x
odd

15. What is the range for the standard cubic function?
A V
f(x)=suare root of x
(-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

16. How are functions normally written?
2nd catalog (zero key -) abs(x) - graph
only one
parabola - up one and right three
As equations

17. What are two examples of composit functions?
f of g and g of f
f(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
parraelle line

18. 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?
parraelle line
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd
C>1 - horizontal shrinking

19. y^2+x=4 is this a function? Why?
no because you cannot have one domain pointing at two y's or ranges
Approach neg toward x through zero and above positive close to x
horizontal
Square Root

20. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Line ascending to the right gradually
x = the original sale price and the formula is x - .40x =$276
parraelle line
f(x)=3 square root x

21. What is the formula for an absolute value function?
Cannot be drawn in quizlet
undefined
f(x)=IxI
x2-x1 because the demonaitor of a quotient can never equal zero

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

23. What is the vertex?
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair
The minimum or maximum points
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

24. What are the calculator instructions for a standard quadratic equation?
down
Y=x^2 - graph
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

25. What does the average rate of change formula solve?
0<c<1 - horizontal stretching
The slope of a line containing two points
only one
Equation of a line

26. What is a domain?
(-infinity - +infinity)
The first set of components of an ordered pair
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)

27. What are the four steps for solving a linear equation?
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.
parraelle line
same
(-infinity - +infinity)

28. What are the calculator instructions for the standard cubic function?
even
Square Root
x math 3 graph
even

29. Standard absolute value - vertical shift formulas for positve and negative
negative inverse
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c
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.

30. What is the domain for the standard cubic function?
The opposite coordinates
x^2
0<c<1 - horizontal stretching
(-infinity - +infinity)

31. What is the line called that illustrates the straight line between the two points when showing average rate of change?
As equations
The secant line
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

32. What does the absolute value function look like?
A V
0<c<1 - horizontal stretching
As equations
Three odd - cube root - identity - standard cubic

33. What is the average rate of change formula?
Yes - all the domains points to one range
negative slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x2)-f(x1) / x2-x1

34. 4(x-7)=4x-28 is what type of an equation?
x^2
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
identity

35. What is the formula for to calculate the difference of a quotient function?
Y=x^2 - graph
Y=IxI
f(x+h)-f(x)/h h cannot equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

36. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Line ascending to the right gradually
The opposite coordinates
Y=x^2 - graph

37. What is the range for a standard quadratic function?
identity
(-infinity - 0]U[0 - +infinity)
same
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

38. How do you calculate a constant function in your calculator?
x = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph
even
undefined

39. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Cannot be drawn in quizlet
horizontal left
(-infinity - +infinity)

40. What is the range of the constant function?
odd
x math 3 graph
in a quotient
The single number y=

41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-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.
1 -2 -3
The single number y=

42. Which direction does f(x-c) move
x = the original sale price and the formula is x - .40x =$276
f(x^1)=f(x^2)
parabola
horizontal right

43. What does the square root function look like on a graph?
Line ascending to the right gradually
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
perpendicular line

44. Draw or discuss a constant function
in a quotient
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
45 degree angle

45. What is the domain of an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
no because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

46. what is the letter used to represent slope?
m
parabola
x = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant

47. What are the calculator instructions for the cube root function?
1 -2 -3
(-infinity - +infinity)
inconsitent
math 4 x - graph

48. What is the formula for the standard cubic function?
f(x)=x^3
(-infinity - +infinity)
parabola - up one and right three
x = the original sale price and the formula is x - .40x =$276

49. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x - identity function
20+.05x=5+.10x x=minutes
same

50. What is the formula for the square root function?
f(x)=suare root of 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
Yes - all the domains points to one range
x^2

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CLEP College Algebra: Functions

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