Test your basic knowledge |

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 is the range of a square root function?
[0 -+infinity)
f(x)=IxI
f(x)=suare root of x
odd

2. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The opposite coordinates
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
because the demintor of a quotient can never equal zero

3. What are the calculator instructions for a standard quadratic equation?
parabola
Y=x^2 - graph
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

4. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
undefined
Equation of a line
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic

5. y=f(cx) what does this formula represent?
Set the x and y to zero and get the intercepts and then plot the points
perpendicular line
The single number y=
0<c<1 - horizontal stretching

6. What type of slope do you have when m=? and the line is vertical?
When does a graph not define y as a function of x?
(-infinity - +infinity)
undefined slope
Y=x^2 - graph

7. Is an identity function even - odd or neither?
identity
The second set of components of an ordered pair
identity
odd

8. What does the absolute value function look like?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y
45 degree angle
A V

9. What is slope?
x=a
odd
A line passing through two distinct points
neither

10. What does the square root function look like on a graph?
f(x^1)=f(x^2)
Line ascending to the right gradually
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points

11. x= a real number is what type of equation?
As equations
parraelle line
Set the x and y to zero and get the intercepts and then plot the points
Conditional

12. What type of slope do you have when the line is horizontal and m=0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f
even
zero slope

13. What is another way of writing the absolute value function?
Y=IxI
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
undefined slope

14. What points do you use to plot the inverse on a graph?
identity
The opposite coordinates
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
no because you cannot have one domain pointing at two y's or ranges

15. What is the vertex?
Cannot be drawn in quizlet
The minimum or maximum points
The opposite coordinates
Cannot be drawn in quizlet

16. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
perpendicular line

17. Which direction does f(x)=+c move in standard absolute value formula?
up
horizontal right
45 degree angle
because the demintor of a quotient can never equal zero

18. Standard absolute value - horizontal shift formulas for left and right
inconsistant
A line passing through two distinct points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x+c) and f(x-c)

19. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Cannot be drawn in quizlet
x^2
A V

20. What is the formula for the standard cubic function?
f(x)=x^3
negative slope
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. How are functions normally written?
horizontal left
f(x)=suare root of x
The first set of components of an ordered pair
As equations

22. x=all real numbers is what type of an equation?
(-infinity - +infinity)
identity
horizontal left
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

23. What is the formula for to calculate the difference of a quotient function?
negative inverse
Line ascending to the right gradually
f(x+h)-f(x)/h h cannot equal zero
inconsitent

24. What is the domain of a square root function?
even
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A V

25. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
Y=10
(-infinity - +infinity)
parraelle line

26. what can never equal zero in the slope formula and why?
[0 -+infinity)
only one
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

27. What type of function would you use to calculate the most advantageous cell phone plan?
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
odd
The secant line
Y=IxI

29. what is the letter used to represent slope?
m
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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 - 0]U[0 - +infinity)

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

31. Is the square root function odd - even or neither?
function notation
up
neither
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

32. 4x+5x=8x is what type of an equation?
zero slope
parabola - up one and right three
f(x+h)-f(x)/h h cannot equal zero
Conditional

33. What type of line is a constant function?
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal
The opposite coordinates

34. What equation does every line have? Discuss the variables.
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.
identity
x is the hours to repair the boat. $1603-532=anwser/63 = x
x math 3 graph

35. What is a relation?
45 degree angle
Y= then enter the number then press graph
4 -6 -9
Any set of ordered pairs

36. Is an absolute value function even - odd or neither?
0<c<1 - horizontal stretching
As many as you like
even
horizontal

37. Is a standard quadratic function even - odd or neither?
even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
in a quotient
(-infinity - +infinity)

38. Draw or discuss a constant function
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
x = the original sale price and the formula is x - .40x =$276

39. What type of slope do horizontal lines have?
2nd key - x^2 - graph
same
because the demintor of a quotient can never equal zero
odd

40. How do you calculate a constant function in your calculator?
Square Root
even
f(x)=suare root of x
Y= then enter the number then press graph

41. How would this formula move f(x)=(x+1)^2-3
Equation of a line
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
parabola - up one and right three

42. What is the vertical line formula?
x=a
The first set of components of an ordered pair
f(x+c) and f(x-c)
The minimum or maximum points

43. What type of line is an identity function?
parraelle line
The first set of components of an ordered pair
45 degree angle
math 4 x - graph

44. What is the formula for an identity function?
Y=10
As many as you like
f(x) = x
Square Root

45. What are the algebra of functions?
f(x)=IxI
identity
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x

46. In an identity function if f(10)=x than what is y?
The secant line
Y=IxI
Y=10
Conditional

47. What are the calculator instructions for a square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd key - x^2 - graph
[0 -+infinity)
in a quotient

48. What does the average rate of change formula solve?
even
f of g and g of f
The slope of a line containing two points
undefined

49. When is the only time (-infinity - +infinity) is not the domain?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually
in a quotient
f(x+c) and f(x-c)

50. 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?
negative slope
x is the hours to repair the boat. $1603-532=anwser/63 = 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
horizontal right