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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 to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
neither
even

2. Is the square root function odd - even or neither?
C>1 - horizontal shrinking
neither
20+.05x=5+.10x x=minutes
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.

3. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Conditional
The minimum or maximum points
4 -6 -9
Approach neg toward x through zero and above positive close to x

4. What are two examples of composit functions?
f of g and g of f
f(x)=suare root of x
0<c<1 - horizontal stretching
Square Root

5. What is the domain of a square root function?
Y
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.
[0 -+infinity)
even

6. What is the average rate of change formula?
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(x2)-f(x1) / x2-x1
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph

7. What direction does f(x)-c move in standard absolute value formula?
Set the x and y to zero and get the intercepts and then plot the points
m
(-infinity - 0]U[0 - +infinity)
down

8. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
[0 -+infinity)
Any set of ordered pairs
1 -2 -3
Cannot be drawn in quizlet

9. What is a domain?
f(x)=+c and f(x)-c
(-infinity - +infinity)
odd
The first set of components of an ordered pair

10. What is the formula for the standard cubic function?
f(x)=x^3
The opposite coordinates
2nd catalog (zero key -) abs(x) - graph
neither

11. What are the four steps for finding the inverse of a function?
because the demintor of a quotient can never equal zero
[0 -+infinity)
When does a graph not define y as a function of x?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

12. Which direction does f(x+c) move
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
f(x+c) and f(x-c)
horizontal left

13. What is the domain and range of a constant function?
(-infinity - +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.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3

14. Is an absolute value function even - odd or neither?
horizontal
Any set of ordered pairs
even
As equations

15. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
inconsitent
Three odd - cube root - identity - standard cubic

16. What is an identity function?
45 degree angle
Conditional
Three odd - cube root - identity - standard cubic
even

17. What are the calculator instructions for the cube root function?
(-infinity - 0]U[0 - +infinity)
f(x) = x
odd
math 4 x - graph

18. What is the vertical line formula?
x=a
The first set of components of an ordered pair
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.
negative inverse

19. What are the calculator instructions for the standard cubic function?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
x math 3 graph
parabola

20. Which direction does f(x)=+c move in standard absolute value formula?
[0 -+infinity)
up
0<c<1 - horizontal stretching
perpendicular line

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

22. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Line ascending to the right gradually
parraelle line
The first set of components of an ordered pair
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

23. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
same
20+.05x=5+.10x x=minutes
Conditional

24. A flat line underlining one vertical line is a symbol for
perpendicular line
inconsistant
x math 3 graph
f(x)=suare root of x

25. What are the four steps for solving a linear equation?
Yes because two x's or domains can point to one y
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
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.

26. How do you calculate a constant function in your calculator?
Square Root
x2-x1 because the demonaitor of a quotient can never equal zero
Y= then enter the number then press graph
neither

27. What are the calculator instructions for a square root function?
(-infinity - +infinity)
2nd key - x^2 - graph
(-infinity - +infinity)
(-infinity - +infinity)

28. What is the point slope formula and when do you use it?
horizontal
f(x^1)=f(x^2)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x = the original sale price and the formula is x - .40x =$276

29. What is the slope of a perpendicular line?
negative inverse
x=a
(-infinity - +infinity)
down

30. What is another way of writing the absolute value function?
Cannot be drawn in quizlet
parabola - up one and right three
Y=IxI
The secant line

31. 4(x-7)=4x-28 is what type of an equation?
x^2
identity
Three odd - cube root - identity - standard cubic
Y=IxI

32. What are the calculator instructions for absolute value?
Three odd - cube root - identity - standard cubic
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph
in a quotient

33. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
negative inverse
horizontal left
Yes - all the domains points to one range

34. What type of slope do you have when a line rises from left to right and m>0?
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
postiive slope
(-infinity - +infinity)

35. What is the range of an identity function?
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Y=x^2 - graph
[0 -+infinity)

36. 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?
(-infinity - +infinity)
postiive slope
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

37. x= a real number is what type of equation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line
Conditional
45 degree angle

38. What is the slope intercept formula? Define all the variables.
Y=IxI
x math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The slope of a line containing two points

39. What is the range for a standard quadratic function?
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(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)
Cannot be drawn in quizlet

40. What is the line called that illustrates the straight line between the two points when showing average rate of change?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y
(-infinity - +infinity)
The secant line

41. Of the seven of algebra's common graph's how many are odd?
identity
Absolute Value - Constant and Standard Quadratic
no because you cannot have one domain pointing at two y's or ranges
Three odd - cube root - identity - standard cubic

42. Is the standard cubic function odd - even or neither?
odd
When does a graph not define y as a function of x?
Y= then enter the number then press graph
f(x)=3 square root x

43. What is the formula for the cube root function?
horizontal
0<c<1 - horizontal stretching
f(x)=3 square root x
45 degree angle

44. Draw or discuss a constant function
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
The slope of a line containing two points
f(x)=x^3

45. Of the seven of algebra's common graph's how many are even?
even
negative inverse
Absolute Value - Constant and Standard Quadratic
perpendicular line

46. What is the domain for an absolute value function?
horizontal
in a quotient
0<c<1 - horizontal stretching
(-infinity - +infinity)

47. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
x2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
Cannot be drawn in quizlet

48. What is another way to write f(x)=x - what type of function is this?
1 -2 -3
[0 -+infinity)
f(x2)-f(x1) / x2-x1
Y=x - identity function

49. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
f(x) = x
Y=b

50. How would this formula move f(x)=(x+1)^2-3
x2-x1 because the demonaitor of a quotient can never equal zero
parabola - up one and right three
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=suare root of x