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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 points do you use to plot the inverse on a graph?
horizontal left
horizontal right
Absolute Value - Constant and Standard Quadratic
The opposite coordinates

2. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Piecewise
C>1 - horizontal shrinking
neither

3. $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?
down
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
negative 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

4. what is a range?
The second set of components of an ordered pair
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
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking

5. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
f(x+c) and f(x-c)
20+.05x=5+.10x x=minutes
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

6. What is an identity function?
45 degree angle
The first set of components of an ordered pair
Square Root
Equation of a line

7. How would this formula move f(x)=(x+1)^2-3
Conditional
odd
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 - up one and right three

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

9. What shape is the standard quadratic function?
negative inverse
Y=10
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.
parabola

10. 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
negative slope
(-infinity - 0]U[0 - +infinity)
up

11. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
zero slope

12. x= a real number is what type of equation?
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
Conditional
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

13. What type of slope do vertical lines have?
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined
f(x) = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. What is the range of the constant function?
The single number y=
Y=x^2 - graph
because the demintor of a quotient can never equal zero
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

15. 4(x-7)=4x+28 is what type of an equation?
(-infinity - 0]U[0 - +infinity)
inconsitent
Line ascending to the right gradually
A line passing through two distinct points

16. Is the standard cubic function odd - even or neither?
odd
f(x)=suare root of x
4 -6 -9
even

17. What is a domain?
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.
The first set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
When does a graph not define y as a function of x?

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

19. What type of slope do you have when a line falls left to right and m<0?
negative slope
up
Conditional
f(x)=x^3

20. What is the formula for an identity function?
horizontal
f(x^1)=f(x^2)
even
f(x) = x

21. What are the four steps for solving a linear equation?
Piecewise
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.
horizontal
Conditional

22. What is the domain of an identity function?
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.
(-infinity - +infinity)
perpendicular line
negative slope

23. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair

24. 4x+5x=8x is what type of an equation?
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
(-infinity - +infinity)
Conditional
down

25. What is the domain of a square root function?
(-infinity - +infinity)
4 -6 -9
zero slope
[0 -+infinity)

26. What does linear equation mean?
The slope of a line containing two points
2nd catalog (zero key -) abs(x) - graph
f(x)=IxI
Equation of a line

27. how many domains can you have pointing to one range?
As many as you like
math 4 x - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
inconsistant

28. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair

29. Draw or discuss an increasing function
f(x+c) and f(x-c)
Conditional
negative slope
Cannot be drawn in quizlet

30. What does the square root function look like on a graph?
undefined slope
Line ascending to the right gradually
When does a graph not define y as a function of x?
Square Root

31. What equation does every line have? Discuss the variables.
neither
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.
(-infinity - +infinity)
negative inverse

32. How are functions normally written?
f(x+h)-f(x)/h h cannot equal zero
When does a graph not define y as a function of x?
As equations
Piecewise

33. What is the range for a standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
horizontal right
x^2
(-infinity - 0]U[0 - +infinity)

34. In an identity function if f(10)=x than what is y?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10
Y=x^2 - graph
A V

35. What is the vertical line formula?
x=a
Any set of ordered pairs
20+.05x=5+.10x x=minutes
Y= then enter the number then press graph

36. What is the range of a square root function?
Y= then enter the number then press graph
45 degree angle
[0 -+infinity)
postiive slope

37. Is a constant function even - odd or neither?
in a quotient
(-infinity - 0]U[0 - +infinity)
The secant line
even

38. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
up
Conditional
horizontal right

39. what can never equal zero in the slope formula and why?
2nd key - x^2 - graph
The opposite coordinates
x2-x1 because the demonaitor of a quotient can never equal zero
x math 3 graph

40. What is the formula for the standard cubic function?
odd
Equation of a line
f(x)=x^3
The second set of components of an ordered pair

41. What direction does f(x)-c move in standard absolute value formula?
even
x is the hours to repair the boat. $1603-532=anwser/63 = x
down
(-infinity - +infinity)

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

43. What is the vertical line test?
(-infinity - +infinity)
The opposite coordinates
When does a graph not define y as a function of x?
undefined

44. What is the formula for the square root function?
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)=suare root of x
2nd catalog (zero key -) abs(x) - graph
f(x)=+c and f(x)-c

45. What are the calculator instructions for a square root function?
horizontal right
Square Root
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd key - x^2 - graph

46. 4(x-7)=4x-28 is what type of an equation?
zero slope
identity
in a quotient
(-infinity - +infinity)

47. What is another way to write f(x)=x - what type of function is this?
As many as you like
Any set of ordered pairs
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points

48. What type of slope do horizontal lines have?
even
same
Y=x^2 - graph
f(x)=+c and f(x)-c

49. What is the slope intercept formula? Define all the variables.
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
horizontal left

50. Two vertical lines side by side are a symbol for what
parraelle line
horizontal left
As equations
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse