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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. Which direction does f(x)=+c move in standard absolute value formula?
f(x)=+c and f(x)-c
up
postiive slope
[0 -+infinity)

2. What are the algebra of functions?
When does a graph not define y as a function of x?
inconsitent
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined

3. Draw or discuss a decreasing function
2nd key - x^2 - graph
Any set of ordered pairs
Cannot be drawn in quizlet
The second set of components of an ordered pair

4. Standard absolute value - horizontal shift formulas for left and right
x is the hours to repair the boat. $1603-532=anwser/63 = x
down
f(x+c) and f(x-c)
identity

5. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function
horizontal
The opposite coordinates

6. how many domains can you have pointing to one range?
As many as you like
function notation
(-infinity - +infinity)
x math 3 graph

7. 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?
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 is the hours to repair the boat. $1603-532=anwser/63 = x
f of g and g of f
(-infinity - +infinity)

8. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - 0]U[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
no because you cannot have one domain pointing at two y's or ranges

9. What does the standard cubic function look like on a graph?
[0 -+infinity)
As equations
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant

10. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
Line ascending to the right gradually
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x

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

12. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Conditional
horizontal left
Conditional

13. 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.
The single number y=
horizontal right
Piecewise

14. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points
f(x)=+c and f(x)-c

15. What is the formula for an identity function?
f(x) = x
identity
Equation of a line
0<c<1 - horizontal stretching

16. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
function notation
Square Root
parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

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

18. What is the domain and range of a constant function?
(-infinity - +infinity)
Cannot be drawn in quizlet
As many as you like
no because you cannot have one domain pointing at two y's or ranges

19. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
f(x)=3 square root x
Y= then enter the number then press graph
20+.05x=5+.10x x=minutes

20. Of the seven of algebra's common graph's how many are neither?
The slope of a line containing two points
Square Root
Cannot be drawn in quizlet
m

21. x=no real numbers is what type of an equation?
inconsistant
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
even

22. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
Conditional

23. Is the standard cubic function odd - even or neither?
odd
Y= then enter the number then press graph
f(x)=suare root of x
The first set of components of an ordered pair

24. What does the graph of the cube root function look like on the graph?
parabola
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
perpendicular line
Approach neg toward x through zero and above positive close to x

25. What is an identity function?
Y=b
The first set of components of an ordered pair
45 degree angle
horizontal

26. What is the formula for the square root function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=suare root of x
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

27. What is the vertical line formula?
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
x=a
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. What type of slope do you have when the line is horizontal and m=0?
perpendicular line
zero slope
(-infinity - +infinity)
f(x)=x^3

29. In an identity function if f(10)=x than what is y?
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
(-infinity - +infinity)
Y=10
Set the x and y to zero and get the intercepts and then plot the points

30. What is the formula for an absolute value function?
Y=x - identity function
The single number y=
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.
f(x)=IxI

31. What are the calculator instructions for the cube root function?
horizontal
math 4 x - graph
45 degree angle
A V

32. What is the range of the constant function?
negative slope
The single number y=
f(x)=suare root of x
Yes - all the domains points to one range

33. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
identity
1 -2 -3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

34. What is the range of the cube root function?
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Piecewise
The opposite coordinates

35. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
parabola - up one and right three
The secant line
even

36. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
f(x)=3 square root x
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 type of slope do you have when a line falls left to right and m<0?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
negative slope
f(x^1)=f(x^2)
no because you cannot have one domain pointing at two y's or ranges

38. What is another way of writing the absolute value function?
f(x)=x^3
C>1 - horizontal shrinking
x^2
Y=IxI

39. Draw or discuss a constant function
The opposite coordinates
Cannot be drawn in quizlet
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

40. What type of line is an identity function?
45 degree angle
same
Conditional
(-infinity - +infinity)

41. What type of slope do you have when m=? and the line is vertical?
Any set of ordered pairs
undefined slope
The second set of components of an ordered pair
45 degree angle

42. When is the only time (-infinity - +infinity) is not the domain?
C>1 - horizontal shrinking
in a quotient
(-infinity - +infinity)
f(x^1)=f(x^2)

43. What is the domain of the cube root 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.
x^2
(-infinity - +infinity)
f(x)=3 square root x

44. What is a constant function?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
odd
f(x^1)=f(x^2)

45. Which direction does f(x+c) move
x math 3 graph
(-infinity - +infinity)
Cannot be drawn in quizlet
horizontal left

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
perpendicular line
Any set of ordered pairs
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

47. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
zero slope
Three odd - cube root - identity - standard cubic
Equation of a line

48. 4x+5x=8x is what type of an equation?
2nd key - x^2 - graph
Conditional
Yes - all the domains points to one range
Any set of ordered pairs

49. What are two examples of composit functions?
The secant line
horizontal left
Y=x^2 - graph
f of g and g of f

50. What is the range of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal right
f(x+h)-f(x)/h h cannot equal zero