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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 can we substitute for f(x)?
up
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
negative inverse
Y

2. Is a constant function even - odd or neither?
The slope of a line containing two points
f(x)=IxI
even
f(x+h)-f(x)/h h cannot equal zero

3. What are the calculator instructions for absolute value?
neither
2nd catalog (zero key -) abs(x) - graph
Conditional
(-infinity - +infinity)

4. What does the square root function look like on a graph?
Conditional
2nd key - x^2 - graph
Line ascending to the right gradually
As many as you like

5. 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?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph
x is the hours to repair the boat. $1603-532=anwser/63 = x

6. What type of slope do horizontal lines have?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
identity
same

7. What equation does every line have? Discuss the variables.
perpendicular line
The opposite coordinates
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.
Absolute Value - Constant and Standard Quadratic

8. What are the calculator instructions for the cube root function?
math 4 x - graph
f(x)=3 square root 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
C>1 - horizontal shrinking

9. What is the domain for the standard cubic function?
(-infinity - +infinity)
down
x^2
even

10. What is the vertical line formula?
x=a
undefined slope
Any set of ordered pairs
(f+g) - (f-g) - (fg) - (f/g) all of x

11. Draw or discuss an increasing function
negative slope
f(x)=suare root of x
Cannot be drawn in quizlet
Piecewise

12. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Cannot be drawn in quizlet
postiive slope
Y=b

13. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
f of g and g of f
Cannot be drawn in quizlet
Y=x - identity function

14. what is a range?
The second set of components of an ordered pair
Cannot be drawn in quizlet
A V
no because you cannot have one domain pointing at two y's or ranges

15. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
Yes - all the domains points to one range

16. What is the domain of an identity function?
(-infinity - +infinity)
Y=x - identity function
Y=b
As equations

17. What does the graph of the cube root function look like on the graph?
horizontal
Y=x - identity function
parabola
Approach neg toward x through zero and above positive close to x

18. In an identity function if f(10)=x than what is y?
When does a graph not define y as a function of x?
f(x+h)-f(x)/h h cannot equal zero
x=a
Y=10

19. What is the average rate of change formula?
Y=x^2 - graph
parabola - up one and right three
45 degree angle
f(x2)-f(x1) / x2-x1

20. What is a domain?
horizontal right
The first set of components of an ordered pair
Conditional
Conditional

21. Is an absolute value function even - odd or neither?
f(x2)-f(x1) / x2-x1
A V
even
neither

22. What is a constant function?
x=a
x math 3 graph
f(x^1)=f(x^2)
The single number y=

23. A flat line underlining one vertical line is a symbol for
perpendicular line
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
no because you cannot have one domain pointing at two y's or ranges

24. What is the slope of a perpendicular line?
negative inverse
negative slope
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant

25. Draw or discuss a decreasing function
Y=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

26. What is the domain for an absolute value function?
Equation of a line
zero slope
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)

27. 4(x-7)=4x-28 is what type of an equation?
f(x)=3 square root x
identity
horizontal right
negative slope

28. Why can h not equal zero in the difference of a quotient function formula?
A line passing through two distinct points
horizontal right
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

29. What is the range of a square root function?
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)
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)

30. What is the range of the constant function?
f(x)=IxI
The opposite coordinates
The single number y=
45 degree angle

31. What is the range of the cube root function?
(-infinity - +infinity)
negative inverse
Set the x and y to zero and get the intercepts and then plot the points
Y=b

32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
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
1 -2 -3

33. Is an identity function even - odd or neither?
Equation of a line
As equations
Set the x and y to zero and get the intercepts and then plot the points
odd

34. What does the absolute value function look like?
A V
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes
x2-x1 because the demonaitor of a quotient can never equal zero

35. What is the standard quadratic function?
x^2
perpendicular line
f(x2)-f(x1) / x2-x1
The second set of components of an ordered pair

36. What is the vertex?
Y= then enter the number then press graph
x=a
The minimum or maximum points
f(x) = x

37. What type of line is a constant function?
The second set of components of an ordered pair
Y
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero

38. What is the range for the standard cubic function?
As equations
2nd catalog (zero key -) abs(x) - graph
f(x)=3 square root x
(-infinity - +infinity)

39. What is a relation?
undefined slope
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
Any set of ordered pairs
[0 -+infinity)

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

41. What is the range for a standard quadratic function?
f(x)=x^3
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
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

42. What does the standard cubic function look like on a graph?
Approach neg toward x through zero and above positive close to 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
Mirror image neg quadrant to that of the positive quandrant
x2-x1 because the demonaitor of a quotient can never equal zero

43. What are the algebra of functions?
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
in a quotient
A V

44. What does linear equation mean?
Absolute Value - Constant and Standard Quadratic
Equation of a line
inconsitent
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

45. What is the range of an identity function?
f(x)=IxI
(-infinity - +infinity)
neither
f of g and g of f

46. What is the formula for the standard cubic function?
neither
f(x)=x^3
odd
f(x)=IxI

47. Which direction does f(x+c) move
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal left
Y=x^2 - graph
f(x^1)=f(x^2)

48. What is a function?
f(x+h)-f(x)/h h cannot equal zero
A V
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

49. what is the letter used to represent slope?
f(x)=+c and f(x)-c
The minimum or maximum points
parraelle line
m

50. What is the range for an absolute value function?
f(x^1)=f(x^2)
(-infinity - +infinity)
identity
(-infinity - 0]U[0 - +infinity)