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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 an absolute value function?
Y=x^2 - graph
f(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x^1)=f(x^2)

2. What is the formula for the standard cubic function?
f(x)=x^3
postiive slope
As many as you like
even

3. What are the calculator instructions for a standard quadratic equation?
parabola
m
Y=x^2 - graph
negative inverse

4. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
horizontal right
4 -6 -9
m
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. What is the range for a standard quadratic function?
Yes because two x's or domains can point to one y
f(x)=x^3
(-infinity - 0]U[0 - +infinity)
only one

6. Two vertical lines side by side are a symbol for what
parraelle line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

7. Draw or discuss a constant function
The opposite coordinates
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet

8. Is a constant function even - odd or neither?
no because you cannot have one domain pointing at two y's or ranges
A V
The slope of a line containing two points
even

9. What is the domain and range of a constant function?
(-infinity - +infinity)
because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
even

10. Draw or discuss a decreasing function
up
Cannot be drawn in quizlet
The minimum or maximum points
1 -2 -3

11. Which direction does f(x)=+c move in standard absolute value formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
up
20+.05x=5+.10x x=minutes
f(x) = x

12. How would this formula move f(x)=(x+1)^2-3
0<c<1 - horizontal stretching
parabola - up one and right three
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
As many as you like

13. Is the standard cubic function odd - even or neither?
horizontal
The opposite coordinates
odd
undefined

14. What is the formula for the cube root function?
2nd catalog (zero key -) abs(x) - graph
x^2
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
f(x)=3 square root x

15. y=f(cx) - what does this formula represent?
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.
1 -2 -3
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking

16. What does the absolute value function look like?
Mirror image neg quadrant to that of the positive quandrant
x is the hours to repair the boat. $1603-532=anwser/63 = x
A V
The single number y=

17. A flat line underlining one vertical line is a symbol for
odd
Y=10
m
perpendicular line

18. what is a range?
f(x+c) and f(x-c)
The second set of components of an ordered pair
As equations
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

19. f(x) = x^2+3x+5 - what type of formula is this?
function notation
f(x)=suare root of x
As equations
Y=b

20. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

21. What is a function?
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The second set of components of an ordered pair
inconsistant

22. x= a real number is what type of equation?
Conditional
As equations
math 4 x - graph
x2-x1 because the demonaitor of a quotient can never equal zero

23. What is the range for an absolute value function?
Y
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)

24. 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
horizontal
The opposite coordinates
When does a graph not define y as a function of x?

25. What type of slope do horizontal lines have?
same
no because you cannot have one domain pointing at two y's or ranges
even
identity

26. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
inconsitent
f(x2)-f(x1) / x2-x1
A V

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
x math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

28. How are functions normally written?
even
Yes - all the domains points to one range
As equations
Line ascending to the right gradually

29. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
The first set of components of an ordered pair
negative slope
When does a graph not define y as a function of x?

30. What is the standard quadratic function?
A line passing through two distinct points
x^2
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.
45 degree angle

31. What are two examples of composit functions?
inconsitent
inconsistant
f of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x

32. what is the formula for slope?
no because you cannot have one domain pointing at two y's or ranges
The opposite coordinates
Change in y / change in x = rise / run = y2-y1 / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. What are the calculator instructions for the cube root function?
math 4 x - graph
Y=10
1 -2 -3
Mirror image neg quadrant to that of the positive quandrant

34. What points do you use to plot the inverse on a graph?
even
The opposite coordinates
(-infinity - +infinity)
[0 -+infinity)

35. What is the range of an identity function?
even
horizontal
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

36. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
f(x) = x
only one
[0 -+infinity)

37. Which direction does f(x+c) move
f(x)=+c and f(x)-c
horizontal left
even
(-infinity - 0]U[0 - +infinity)

38. What is the domain for an absolute value function?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
20+.05x=5+.10x x=minutes

39. What shape is the standard quadratic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola
(-infinity - 0]U[0 - +infinity)
even

40. In an identity function if f(10)=x than what is y?
2nd catalog (zero key -) abs(x) - graph
same
Y=10
(-infinity - +infinity)

41. 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
x2-x1 because the demonaitor of a quotient can never equal zero
Line ascending to the right gradually
1 -2 -3

42. 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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45 degree angle
0<c<1 - horizontal stretching

43. Of the seven of algebra's common graph's how many are even?
(f+g) - (f-g) - (fg) - (f/g) all of x
Absolute Value - Constant and Standard Quadratic
postiive slope
Three odd - cube root - identity - standard cubic

44. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
f(x2)-f(x1) / x2-x1
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes because two x's or domains can point to one y

45. What is the slope intercept formula? Define all the variables.
2nd key - x^2 - graph
As equations
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=x^3

46. What is an identity function?
When does a graph not define y as a function of x?
horizontal left
45 degree angle
x math 3 graph

47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Set the x and y to zero and get the intercepts and then plot the points
The secant line
4 -6 -9
because the demintor of a quotient can never equal zero

48. What is the average rate of change formula?
horizontal
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
[0 -+infinity)

49. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
negative slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
in a quotient

50. What is another way of writing the absolute value function?
f(x2)-f(x1) / x2-x1
m
x=a
Y=IxI