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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 is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
same
x = the original sale price and the formula is x - .40x =$276

2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
only one
0<c<1 - horizontal stretching
even

3. f(x) = x^2+3x+5 - what type of formula is this?
x=a
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
function notation
because the demintor of a quotient can never equal zero

4. 4(x-7)=4x+28 is what type of an equation?
Square Root
45 degree angle
inconsitent
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

5. What does the absolute value function look like?
x^2
negative inverse
neither
A V

6. What is another way of writing the absolute value function?
Conditional
Y=IxI
even
45 degree angle

7. What is the domain for an absolute value function?
horizontal
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
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

8. What is the formula for the square root function?
f(x)=suare root of x
45 degree angle
x2-x1 because the demonaitor of a quotient can never equal zero
even

9. What is the domain of an identity function?
(-infinity - +infinity)
identity
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

10. What type of slope do you have when a line rises from left to right and m>0?
horizontal
4 -6 -9
x is the hours to repair the boat. $1603-532=anwser/63 = x
postiive slope

11. x=all real numbers is what type of an equation?
inconsistant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
C>1 - horizontal shrinking
identity

12. What is the range for a standard quadratic function?
math 4 x - graph
(-infinity - 0]U[0 - +infinity)
2nd key - x^2 - graph
0<c<1 - horizontal stretching

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

14. Two vertical lines side by side are a symbol for what
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
parraelle line
Y=b

15. What is the domain and range of a constant function?
The minimum or maximum points
(-infinity - +infinity)
Yes - all the domains points to one range
The single number y=

16. What is the domain for the standard cubic function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +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
undefined slope

17. Which direction does f(x+c) move
f(x)=IxI
A line passing through two distinct points
negative inverse
horizontal left

18. Standard absolute value - vertical shift formulas for positve and negative
only one
f(x)=+c and f(x)-c
Set the x and y to zero and get the intercepts and then plot the points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

19. Draw or discuss an increasing function
As many as you like
odd
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276

20. What type of slope do vertical lines have?
horizontal
even
45 degree angle
undefined

21. How would this formula move f(x)=(x+1)^2-3
math 4 x - graph
parabola - up one and right three
(-infinity - +infinity)
A V

22. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
horizontal left
Y=x^2 - graph
The single number y=

23. What is slope?
The minimum or maximum points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A line passing through two distinct points
horizontal right

24. x= a real number is what type of equation?
Y=10
Conditional
(-infinity - 0]U[0 - +infinity)
f(x)=x^3

25. What type of slope do you have when the line is horizontal and m=0?
Square Root
m
zero slope
45 degree angle

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f
Y=x - identity function

27. Is a standard quadratic function even - odd or neither?
even
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
As equations

28. What is the horizontal line formula?
Y= then enter the number then press graph
odd
Y=b
45 degree angle

29. What are the steps for solving a word problem?
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
odd
identity
negative inverse

30. what can never equal zero in the slope formula and why?
(-infinity - +infinity)
1 -2 -3
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

31. When is the only time (-infinity - +infinity) is not the domain?
f(x+h)-f(x)/h h cannot equal zero
in a quotient
horizontal right
x math 3 graph

32. What is the formula for the standard cubic function?
even
Set the x and y to zero and get the intercepts and then plot the points
f(x)=x^3
inconsitent

33. Why can h not equal zero in the difference of a quotient function formula?
horizontal
negative slope
because the demintor of a quotient can never equal zero
horizontal right

34. Draw or discuss a decreasing function
The second set of components of an ordered pair
The secant line
postiive slope
Cannot be drawn in quizlet

35. What is the standard quadratic function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
x^2
x math 3 graph
(-infinity - +infinity)

36. 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
horizontal
Y= then enter the number then press graph
x^2

37. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
f(x)=suare root of x
because the demintor of a quotient can never equal zero

38. Which direction does f(x-c) move
2nd catalog (zero key -) abs(x) - graph
Y=b
The opposite coordinates
horizontal right

39. What type of line is a constant function?
x = the original sale price and the formula is x - .40x =$276
Piecewise
A V
horizontal

40. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(f+g) - (f-g) - (fg) - (f/g) all of x
negative inverse
Set the x and y to zero and get the intercepts and then plot the points
x = the original sale price and the formula is x - .40x =$276

41. What are the calculator instructions for a square root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd key - x^2 - graph
parraelle line
horizontal

42. How do you calculate a constant function in your calculator?
horizontal
Y= then enter the number then press graph
inconsitent
A V

43. how many domains can you have pointing to one range?
As many as you like
negative inverse
down
Cannot be drawn in quizlet

44. What is a domain?
The opposite coordinates
(-infinity - +infinity)
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points

45. y=f(cx) - what does this formula represent?
only one
C>1 - horizontal shrinking
postiive slope
x is the hours to repair the boat. $1603-532=anwser/63 = x

46. What are the algebra of functions?
inconsistant
Y=IxI
same
(f+g) - (f-g) - (fg) - (f/g) all of x

47. What is another way to write f(x)=x - what type of function is this?
zero slope
undefined slope
Y=x - identity function
Y= then enter the number then press graph

48. Standard absolute value - horizontal shift formulas for left and right
Y=x - identity function
f(x+c) and f(x-c)
x2-x1 because the demonaitor of a quotient can never equal zero
even

49. What is a relation?
odd
[0 -+infinity)
As equations
Any set of ordered pairs

50. how many ranges can you have for each domain?
only one
Line ascending to the right gradually
Yes - all the domains points to one range
in a quotient