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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. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
f(x+c) and f(x-c)
(-infinity - +infinity)
The secant line

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

3. What does the square root function look like on a graph?
2nd key - x^2 - graph
x^2
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)

4. What type of function would you use to calculate the most advantageous cell phone plan?
negative slope
only one
Piecewise
undefined

5. Is an identity function even - odd or neither?
Y=x^2 - graph
Any set of ordered pairs
neither
odd

6. y=f(cx) - what does this formula represent?
A V
parabola
C>1 - horizontal shrinking
f(x)=x^3

7. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
As equations
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

8. Of the seven of algebra's common graph's how many are neither?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
Three odd - cube root - identity - standard cubic

9. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
parabola
0<c<1 - horizontal stretching
no because you cannot have one domain pointing at two y's or ranges

10. Two vertical lines side by side are a symbol for what
f(x) = x
A V
(-infinity - +infinity)
parraelle line

11. x=all real numbers is what type of an equation?
identity
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function

12. 4(x-7)=4x+28 is what type of an equation?
Cannot be drawn in quizlet
inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Change in y / change in x = rise / run = y2-y1 / x2-x1

13. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
f(x)=IxI
f(x)=+c and f(x)-c
f(x^1)=f(x^2)

14. Is an absolute value function even - odd or neither?
postiive slope
even
because the demintor of a quotient can never equal zero
odd

15. What is the formula in both horizontal stretching and horizontal shrinking?
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x2)-f(x1) / x2-x1
postiive slope

16. What is another way of writing the absolute value function?
x = the original sale price and the formula is x - .40x =$276
Y=IxI
The first set of components of an ordered pair
As equations

17. x= a real number is what type of equation?
Conditional
The second set of components of an ordered pair
horizontal left
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.

18. What is a domain?
(-infinity - +infinity)
only one
identity
The first set of components of an ordered pair

19. what is a range?
The second set of components of an ordered pair
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.
only one
f(x^1)=f(x^2)

20. A flat line underlining one vertical line is a symbol for
negative inverse
perpendicular line
only one
inconsitent

21. 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.
Y=b
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
2nd catalog (zero key -) abs(x) - graph

22. How would this formula move f(x)=(x+1)^2-3
in a quotient
f(x+h)-f(x)/h h cannot equal zero
45 degree angle
parabola - up one and right three

23. What type of slope do you have when a line falls left to right and m<0?
negative slope
because the demintor of a quotient can never equal zero
f of g and g of f
When does a graph not define y as a function of x?

24. What is a relation?
even
in a quotient
Any set of ordered pairs
x math 3 graph

25. What type of slope do you have when the line is horizontal and m=0?
zero slope
m
negative inverse
horizontal right

26. What is the range for the standard cubic function?
Cannot be drawn in quizlet
undefined slope
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
(-infinity - +infinity)

27. What are the calculator instructions for the standard cubic function?
undefined slope
(-infinity - 0]U[0 - +infinity)
math 4 x - graph
x math 3 graph

28. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
identity
(-infinity - +infinity)

29. What is the range of an identity function?
odd
x=a
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

30. What is the range for a standard quadratic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually

31. What points do you use to plot the inverse on a graph?
Y
The opposite coordinates
As many as you like
(-infinity - +infinity)

32. what is the letter used to represent slope?
undefined
m
As equations
undefined slope

33. How do you calculate a constant function in your calculator?
negative inverse
x=a
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= then enter the number then press graph

34. Which direction does f(x+c) move
no because you cannot have one domain pointing at two y's or ranges
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
When does a graph not define y as a function of x?
horizontal left

35. How do you graph Ax+By+C=0?
neither
Conditional
Y
Set the x and y to zero and get the intercepts and then plot the points

36. What is the domain of a square root function?
Yes because two x's or domains can point to one y
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
horizontal right

37. What is the vertical line test?
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
Line ascending to the right gradually
negative inverse

38. What is the range of a square root function?
The secant line
Yes because two x's or domains can point to one y
[0 -+infinity)
Three odd - cube root - identity - standard cubic

39. What does linear equation mean?
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?
A V
Equation of a line

40. In an identity function if f(10)=x than what is y?
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.
Y=10
odd

41. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
Yes - all the domains points to one range
because the demintor of a quotient can never equal zero
up

42. What is the range for an absolute value function?
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
function notation
Y=b

43. What is an identity function?
45 degree angle
Y
x is the hours to repair the boat. $1603-532=anwser/63 = x
odd

44. Of the seven of algebra's common graph's how many are odd?
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=x - identity function
x=a
Three odd - cube root - identity - standard cubic

45. What is the formula for an identity function?
Y=10
f(x) = x
f(x)=+c and f(x)-c
45 degree angle

46. 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?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As equations
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

47. What is the domain of the cube root function?
Conditional
(-infinity - +infinity)
The first set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x

48. y=f(cx) what does this formula represent?
x2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching
f(x)=3 square root x
f(x)=IxI

49. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates

50. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=+c and f(x)-c
x = the original sale price and the formula is x - .40x =$276
f of g and g of f
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