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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. 4x+5x=8x is what type of an equation?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
(-infinity - +infinity)
Conditional

2. Is an absolute value function even - odd or neither?
undefined slope
Three odd - cube root - identity - standard cubic
because the demintor of a quotient can never equal zero
even

3. 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
no because you cannot have one domain pointing at two y's or ranges
The first set of components of an ordered pair

4. What are the calculator instructions for the standard cubic function?
4 -6 -9
f(x)=IxI
x math 3 graph
x=a

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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsistant
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

6. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Approach neg toward x through zero and above positive close to x
Any set of ordered pairs
undefined slope

7. What type of slope do vertical lines have?
undefined
f of g and g of f
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.
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

8. What is the domain for the standard cubic function?
The single number y=
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
0<c<1 - horizontal stretching

9. What is the point slope formula and when do you use it?
Yes - all the domains points to one range
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x=a

10. Draw or discuss a constant function
Y= then enter the number then press graph
up
Cannot be drawn in quizlet
Y=x - identity function

11. When is the only time (-infinity - +infinity) is not the domain?
The opposite coordinates
Line ascending to the right gradually
C>1 - horizontal shrinking
in a quotient

12. What is the formula for the square root function?
Conditional
Approach neg toward x through zero and above positive close to x
horizontal
f(x)=suare root of x

13. What is the domain for an absolute value function?
(-infinity - 0]U[0 - +infinity)
f(x)=x^3
(-infinity - +infinity)
The opposite coordinates

14. how many domains can you have pointing to one range?
identity
As many as you like
2nd catalog (zero key -) abs(x) - graph
f of g and g of f

15. what is the formula for slope?
parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1
perpendicular line
Absolute Value - Constant and Standard Quadratic

16. Is an identity function even - odd or neither?
odd
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x - identity function
f of g and g of f

17. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
f(x2)-f(x1) / x2-x1
The secant line
(-infinity - 0]U[0 - +infinity)

18. Is a constant function even - odd or neither?
horizontal right
Yes because two x's or domains can point to one y
even
x2-x1 because the demonaitor of a quotient can never equal zero

19. What is the standard quadratic function?
(-infinity - +infinity)
Y=IxI
horizontal right
x^2

20. Which direction does f(x+c) move
[0 -+infinity)
A line passing through two distinct points
horizontal left
As many as you like

21. Which direction does f(x-c) move
x^2
horizontal right
Y=b
f(x)=suare root of x

22. What is the range of a square root function?
horizontal left
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
undefined

23. Is a standard quadratic function even - odd or neither?
identity
The first set of components of an ordered pair
even
horizontal

24. What is an identity function?
Y=10
45 degree angle
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 slope of a line containing two points

25. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=x^3
Cannot be drawn in quizlet

26. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
because the demintor of a quotient can never equal 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

27. What is the formula in both horizontal stretching and horizontal shrinking?
Any set of ordered pairs
even
horizontal
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

28. What are the calculator instructions for a square root function?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs
2nd key - x^2 - graph

29. What is a function?
horizontal
When does a graph not define y as a function of x?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y

30. Is the standard cubic function odd - even or neither?
x=a
horizontal right
odd
20+.05x=5+.10x x=minutes

31. Standard absolute value - horizontal shift formulas for left and right
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.
neither
f(x+c) and f(x-c)
odd

32. What is the formula for an identity function?
Any set of ordered pairs
f(x) = x
undefined slope
[0 -+infinity)

33. What is the domain and range of a constant function?
even
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

34. What type of line is a constant function?
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.
horizontal
Y= then enter the number then press graph
f(x)=+c and f(x)-c

35. What is the average rate of change formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph
x=a
f(x2)-f(x1) / x2-x1

36. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
45 degree angle
[0 -+infinity)
Line ascending to the right gradually

37. x=no real numbers is what type of an equation?
f(x+c) and f(x-c)
inconsistant
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually

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

39. 4(x-7)=4x-28 is what type of an equation?
identity
f of g and g of f
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
A V

40. What is the horizontal line formula?
horizontal left
inconsistant
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=b

41. What is the domain of an identity function?
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph
up
(-infinity - +infinity)

42. Of the seven of algebra's common graph's how many are neither?
even
2nd key - x^2 - graph
Square Root
f(x+c) and f(x-c)

43. 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
even
A line passing through two distinct points
horizontal

44. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
4 -6 -9
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

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

46. Which direction does f(x)=+c move in standard absolute value formula?
only one
up
Y=10
The first set of components of an ordered pair

47. What is the formula for an absolute value function?
f(x)=3 square root x
horizontal left
Absolute Value - Constant and Standard Quadratic
f(x)=IxI

48. 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
inconsistant
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line

49. What is a constant function?
f(x^1)=f(x^2)
(-infinity - +infinity)
neither
45 degree angle

50. What is the formula for the standard cubic function?
f(x)=x^3
[0 -+infinity)
same
20+.05x=5+.10x x=minutes