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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. x=all real numbers is what type of an equation?
down
(-infinity - +infinity)
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

2. What is the domain for an absolute value function?
negative slope
(-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.
(f+g) - (f-g) - (fg) - (f/g) all of x

3. A flat line underlining one vertical line is a symbol for
2nd key - x^2 - graph
perpendicular line
Yes - all the domains points to one range
f(x2)-f(x1) / x2-x1

4. What is an identity function?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
x^2
Absolute Value - Constant and Standard Quadratic

5. What is another way of writing the absolute value function?
Y= then enter the number then press graph
Y=x^2 - graph
Y=IxI
A V

6. What are the algebra of functions?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x2-x1 because the demonaitor of a quotient can never equal zero
math 4 x - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

7. 4(x-7)=4x-28 is what type of an equation?
The first set of components of an ordered pair
f(x)=IxI
Conditional
identity

8. What does the average rate of change formula solve?
The slope of a line containing two points
f(x2)-f(x1) / x2-x1
identity
even

9. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
math 4 x - graph
x = the original sale price and the formula is x - .40x =$276
As equations
even

10. What type of slope do horizontal lines have?
(-infinity - +infinity)
same
zero slope
horizontal right

11. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
up
parraelle line
Any set of ordered pairs

12. Two vertical lines side by side are a symbol for what
f(x^1)=f(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
The minimum or maximum points
parraelle line

13. 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?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola
The first set of components of an ordered pair

14. What type of slope do you have when a line falls left to right and m<0?
f(x) = x
function notation
horizontal
negative slope

15. Of the seven of algebra's common graph's how many are neither?
Square Root
The secant line
Cannot be drawn in quizlet
zero slope

16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=IxI
Yes - all the domains points to one range
Cannot be drawn in quizlet
A line passing through two distinct points

17. What is the range of an identity function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - 0]U[0 - +infinity)
odd
(-infinity - +infinity)

18. Draw or discuss a constant function
Cannot be drawn in quizlet
The single number y=
identity
up

19. What is the range for an absolute value function?
f(x)=3 square root x
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)
x^2

20. Is the standard cubic function odd - even or neither?
no because you cannot have one domain pointing at two y's or ranges
x math 3 graph
x^2
odd

21. how many domains can you have pointing to one range?
f(x)=x^3
As many as you like
in a quotient
f(x)=suare root of x

22. What is the range of the cube root function?
4 -6 -9
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
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.

23. What are the four steps for finding the inverse of a function?
[0 -+infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x - identity function
f(x+c) and f(x-c)

24. What is a function?
same
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y
(f+g) - (f-g) - (fg) - (f/g) all of x

25. What are the calculator instructions for a square root function?
Y=x^2 - graph
identity
2nd key - x^2 - graph
f(x2)-f(x1) / x2-x1

26. What is the domain of the cube root function?
Approach neg toward x through zero and above positive close to x
undefined slope
x^2
(-infinity - +infinity)

27. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)
zero slope

28. What is the point slope formula and when do you use it?
Line ascending to the right gradually
Piecewise
A line passing through two distinct points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
inconsitent
down
2nd key - x^2 - graph
4 -6 -9

30. what can never equal zero in the slope formula and why?
horizontal
x2-x1 because the demonaitor of a quotient can never equal zero
Three odd - cube root - identity - standard cubic
f(x^1)=f(x^2)

31. Is a constant function even - odd or neither?
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
The opposite coordinates
even

32. What are the calculator instructions for the cube root function?
As many as you like
up
math 4 x - graph
Equation of a line

33. What is the domain of a square root function?
identity
[0 -+infinity)
postiive slope
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

34. What type of slope do vertical lines have?
up
undefined
When does a graph not define y as a function of x?
in a quotient

35. What is the vertical line test?
even
The second set of components of an ordered pair
When does a graph not define y as a function of x?
Y

36. What is another way to write f(x)=x - what type of function is this?
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually
Y=x - identity function
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

37. What is the domain and range of a constant function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

38. Of the seven of algebra's common graph's how many are even?
identity
Absolute Value - Constant and Standard Quadratic
even
x math 3 graph

39. What is the horizontal line formula?
Y=b
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.
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
The secant line

40. how many ranges can you have for each domain?
only one
(-infinity - +infinity)
When does a graph not define y as a function of x?
A line passing through two distinct points

41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
parabola - up one and right three
1 -2 -3
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

42. 4(x-7)=4x+28 is what type of an equation?
m
x=a
As equations
inconsitent

43. What is the domain for a standard quadratic function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
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 - +infinity)
only one

44. What are the steps for solving a word problem?
horizontal left
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
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
x=a

45. What type of line is a constant function?
horizontal
Change in y / change in x = rise / run = y2-y1 / x2-x1
odd
f(x)=3 square root x

46. What is the range for a standard quadratic function?
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(x) = x
math 4 x - graph
(-infinity - 0]U[0 - +infinity)

47. What are the calculator instructions for the standard cubic function?
because the demintor of a quotient can never equal zero
Y=x - identity function
1 -2 -3
x math 3 graph

48. what is the letter used to represent slope?
odd
Y=x - identity function
m
Y

49. What is the vertex?
The minimum or maximum points
up
Y=x - identity function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

50. What are the four steps for solving a linear equation?
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.
no because you cannot have one domain pointing at two y's or ranges
f(x)=IxI
f(x)=x^3