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. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
0<c<1 - horizontal stretching
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

2. Of the seven of algebra's common graph's how many are neither?
As equations
(-infinity - +infinity)
inconsitent
Square Root

3. What is the formula for an identity function?
m
f(x) = x
Line ascending to the right gradually
(-infinity - +infinity)

4. What is the range for an absolute value function?
When does a graph not define y as a function of x?
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]U[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

5. What type of slope do you have when m=? and the line is vertical?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

6. What are the steps for solving a word problem?
Yes - all the domains points to one range
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
The minimum or maximum points
Three odd - cube root - identity - standard cubic

7. Standard absolute value - horizontal shift formulas for left and right
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?
f(x+c) and f(x-c)
The opposite coordinates

8. 4(x-7)=4x+28 is what type of an equation?
Cannot be drawn in quizlet
inconsitent
Conditional
identity

9. How would this formula move f(x)=(x+1)^2-3
f(x)=IxI
horizontal right
postiive slope
parabola - up one and right three

10. What is the range of the cube root function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI
Y= then enter the number then press graph

11. What are the calculator instructions for a standard quadratic equation?
identity
The first set of components of an ordered pair
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x^2 - graph

12. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f of g and g of f
When does a graph not define y as a function of 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

13. What is the formula for an absolute value function?
As equations
f(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x) = x

14. What does the average rate of change formula solve?
m
The slope of a line containing two points
(-infinity - +infinity)
horizontal

15. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
function notation

16. What is the slope of a perpendicular line?
identity
negative inverse
f(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points

17. What type of line is an identity function?
Absolute Value - Constant and Standard Quadratic
45 degree angle
Y= then enter the number then press graph
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.

18. y=f(cx) - what does this formula represent?
[0 -+infinity)
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
C>1 - horizontal shrinking

19. What direction does f(x)-c move in standard absolute value formula?
down
4 -6 -9
Piecewise
f(x) = x

20. What is the formula for the standard cubic function?
f(x)=x^3
(-infinity - +infinity)
inconsitent
function notation

21. What is another way of writing the absolute value function?
0<c<1 - horizontal stretching
even
Y=10
Y=IxI

22. what is a range?
up
Y=x - identity function
The second set of components of an ordered pair
Cannot be drawn in quizlet

23. What type of line is a constant function?
horizontal
even
Piecewise
zero slope

24. How do you graph Ax+By+C=0?
The slope of a line containing two points
(-infinity - +infinity)
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
Set the x and y to zero and get the intercepts and then plot the points

25. how many domains can you have pointing to one range?
As many as you like
x = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points
perpendicular line

26. Two vertical lines side by side are a symbol for what
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 - 0]U[0 - +infinity)
When does a graph not define y as a function of x?
parraelle line

27. What is the domain of a square root function?
horizontal left
Equation of a line
zero slope
[0 -+infinity)

28. What equation does every line have? Discuss the variables.
same
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.
A V
odd

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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

30. Draw or discuss a decreasing function
Y
identity
parraelle line
Cannot be drawn in quizlet

31. What points do you use to plot the inverse on a graph?
math 4 x - graph
The opposite coordinates
only one
0<c<1 - horizontal stretching

32. x= a real number is what type of equation?
x = the original sale price and the formula is x - .40x =$276
2nd catalog (zero key -) abs(x) - graph
Conditional
A line passing through two distinct points

33. Draw or discuss a constant function
x2-x1 because the demonaitor of a quotient can never equal zero
horizontal
The single number y=
Cannot be drawn in quizlet

34. Is an identity function even - odd or neither?
no because you cannot have one domain pointing at two y's or ranges
The slope of a line containing two points
odd
m

35. What is the horizontal line formula?
undefined slope
horizontal
Y= then enter the number then press graph
Y=b

36. what is the letter used to represent 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.
inconsistant
only one
m

37. How do you calculate a constant function in your calculator?
Any set of ordered pairs
Y= then enter the number then press graph
Y=10
Yes because two x's or domains can point to one y

38. y=f(cx) what does this formula represent?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Set the x and y to zero and get the intercepts and then plot the points
Equation of a line
0<c<1 - horizontal stretching

39. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(-infinity - +infinity)
Equation of a line
perpendicular line
20+.05x=5+.10x x=minutes

40. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
horizontal left
x = the original sale price and the formula is x - .40x =$276
negative inverse
x2-x1 because the demonaitor of a quotient can never equal zero

41. What is the range of the constant function?
The single number y=
identity
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 because two x's or domains can point to one y

42. What are the calculator instructions for a square root function?
Any set of ordered pairs
(-infinity - +infinity)
2nd key - x^2 - graph
undefined

43. 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?
horizontal
horizontal right
Mirror image neg quadrant to that of the positive quandrant
x is the hours to repair the boat. $1603-532=anwser/63 = x

44. What type of slope do you have when a line falls left to right and m<0?
Y=x^2 - graph
negative slope
down
The opposite coordinates

45. What can we substitute for f(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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=IxI
Y

46. What are the calculator instructions for absolute value?
2nd key - x^2 - graph
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

47. What is the domain for a standard quadratic function?
Conditional
(-infinity - +infinity)
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph

48. What is the formula for the cube root function?
f(x)=x^3
Y=x - identity function
f(x)=3 square root x
odd

49. What is the range for the standard cubic function?
odd
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Piecewise

50. Which direction does f(x-c) move
horizontal right
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function