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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 domain of an identity function?
(-infinity - +infinity)
undefined
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
x^2

2. What does the absolute value function look like?
perpendicular line
(-infinity - +infinity)
A V
Line ascending to the right gradually

3. Draw or discuss a constant function
up
horizontal right
Cannot be drawn in quizlet
The opposite coordinates

4. What is a domain?
postiive slope
The first set of components of an ordered pair
negative inverse
4 -6 -9

5. how many ranges can you have for each domain?
A line passing through two distinct points
postiive slope
only one
The first set of components of an ordered pair

6. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
horizontal left
neither
Yes - all the domains points to one range
only one

7. How would this formula move f(x)=(x+1)^2-3
The opposite coordinates
parabola - up one and right three
undefined slope
(-infinity - +infinity)

8. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
The minimum or maximum points
Conditional
The opposite coordinates

9. Is an absolute value function even - odd or neither?
Y=x - identity function
(-infinity - +infinity)
As equations
even

10. What is the domain of the cube root function?
identity
f of g and g of f
only one
(-infinity - +infinity)

11. What are the four steps for solving a linear equation?
(-infinity - +infinity)
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
x2-x1 because the demonaitor of a quotient can never equal zero

12. What is the vertical line formula?
horizontal
f(x)=x^3
x=a
2nd key - x^2 - graph

13. What does the average rate of change formula solve?
2nd key - x^2 - graph
negative slope
inconsistant
The slope of a line containing two points

14. How are functions normally written?
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
As equations
odd
f(x)=+c and f(x)-c

15. Is the standard cubic function odd - even or neither?
Y=IxI
f(x)=3 square root x
Cannot be drawn in quizlet
odd

16. What are two examples of composit functions?
identity
Y=x - identity function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f of g and g of f

17. What does the graph of the cube root function look like on the graph?
Mirror image neg quadrant to that of the positive quandrant
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal

18. f(x) = x^2+3x+5 - what type of formula is this?
function notation
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like
The single number y=

19. Which direction does f(x-c) move
math 4 x - graph
undefined slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal right

20. Draw or discuss a decreasing function
Square Root
(-infinity - +infinity)
Y=b
Cannot be drawn in quizlet

21. What is the range of the constant function?
The single number y=
(-infinity - +infinity)
x math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. Draw or discuss an increasing function
f of g and g of f
Cannot be drawn in quizlet
(-infinity - +infinity)
negative inverse

23. What type of slope do you have when m=? and the line is vertical?
Cannot be drawn in quizlet
f of g and g of f
undefined slope
A V

24. Which direction does f(x)=+c move in standard absolute value formula?
0<c<1 - horizontal stretching
math 4 x - graph
Cannot be drawn in quizlet
up

25. What type of line is a constant function?
[0 -+infinity)
horizontal
(-infinity - +infinity)
odd

26. What does the standard cubic function look like on a graph?
even
odd
Any set of ordered pairs
Mirror image neg quadrant to that of the positive quandrant

27. What is the range for the standard cubic function?
2nd key - x^2 - graph
0<c<1 - horizontal stretching
As equations
(-infinity - +infinity)

28. Standard absolute value - vertical shift formulas for positve and negative
f(x)=3 square root x
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
f(x)=+c and f(x)-c

29. What is the range of 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
only one
[0 -+infinity)
The secant line

30. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
perpendicular line
f(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph

31. What is the domain for a standard quadratic function?
(-infinity - +infinity)
same
Conditional
x=a

32. What type of slope do vertical lines have?
undefined
horizontal
(-infinity - +infinity)
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.

33. What is another way of writing the absolute value function?
The second set of components of an ordered pair
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
Y=IxI
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.

34. What is the range of an identity function?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
parraelle line
[0 -+infinity)

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

36. What is the domain and range of a constant function?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
A V
f(x)=suare root of x

37. What is the horizontal line formula?
math 4 x - graph
Y=b
(-infinity - 0]U[0 - +infinity)
horizontal

38. Which direction does f(x+c) move
Change in y / change in x = rise / run = y2-y1 / x2-x1
even
only one
horizontal left

39. what is the letter used to represent slope?
horizontal
m
x^2
up

40. how many domains can you have pointing to one range?
As many as you like
Set the x and y to zero and get the intercepts and then plot the points
f(x)=3 square root x
The secant line

41. What is the domain of a square root function?
(-infinity - +infinity)
only one
f(x+c) and f(x-c)
[0 -+infinity)

42. x=no real numbers is what type of an equation?
Any set of ordered pairs
Conditional
inconsistant
Yes because two x's or domains can point to one y

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?
Line ascending to the right gradually
A V
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+h)-f(x)/h h cannot equal zero

44. What is slope?
A line passing through two distinct points
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. A flat line underlining one vertical line is a symbol for
Equation of a line
Line ascending to the right gradually
perpendicular line
f of g and g of f

46. x=all real numbers is what type of an equation?
identity
1 -2 -3
negative slope
The slope of a line containing two points

47. What is a constant function?
f(x^1)=f(x^2)
x math 3 graph
postiive slope
Yes because two x's or domains can point to one y

48. Two vertical lines side by side are a symbol for what
m
f of g and g of f
parraelle line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. What is the formula for an identity function?
f(x) = x
(-infinity - +infinity)
Y
zero slope

50. What is another way to write f(x)=x - what type of function is this?
The second set of components of an ordered pair
identity
45 degree angle
Y=x - identity function