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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 range of a square root function?
[0 -+infinity)
Y=b
(f+g) - (f-g) - (fg) - (f/g) all of x
down

2. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Yes because two x's or domains can point to one y
20+.05x=5+.10x x=minutes
Any set of ordered pairs
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. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
negative slope
in a quotient
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

4. What is the domain for the standard cubic function?
in a quotient
(-infinity - +infinity)
C>1 - horizontal shrinking
f(x)=3 square root x

5. What is the formula for an identity function?
f(x) = x
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1

6. What type of slope do vertical lines have?
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
Conditional
undefined
perpendicular line

7. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]U[0 - +infinity)
inconsitent
The second set of components of an ordered pair

8. What does the standard cubic function look like on a graph?
no because you cannot have one domain pointing at two y's or ranges
Mirror image neg quadrant to that of the positive quandrant
The single number y=
Set the x and y to zero and get the intercepts and then plot the points

9. How are functions normally written?
Y=x - identity function
[0 -+infinity)
As equations
(-infinity - +infinity)

10. Is an identity function even - odd or neither?
odd
Y
perpendicular line
[0 -+infinity)

11. What is a relation?
0<c<1 - horizontal stretching
As equations
Any set of ordered pairs
horizontal

12. What is an identity function?
horizontal
45 degree angle
even
(-infinity - +infinity)

13. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=suare root of x
Cannot be drawn in quizlet

14. Is a constant function even - odd or neither?
same
Yes because two x's or domains can point to one y
even
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.

15. What is the domain of a square root function?
[0 -+infinity)
m
1 -2 -3
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.

16. 4(x-7)=4x+28 is what type of an equation?
even
inconsitent
(-infinity - +infinity)
identity

17. A flat line underlining one vertical line is a symbol for
Y= then enter the number then press graph
perpendicular line
Cannot be drawn in quizlet
horizontal

18. What shape is the standard quadratic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
inconsitent
parabola
Absolute Value - Constant and Standard Quadratic

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y= then enter the number then press graph
x = the original sale price and the formula is x - .40x =$276
inconsitent
Yes - all the domains points to one range

20. What are the calculator instructions for absolute value?
Approach neg toward x through zero and above positive close to x
x math 3 graph
horizontal left
2nd catalog (zero key -) abs(x) - graph

21. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
m
down

22. What points do you use to plot the inverse on a graph?
x=a
The opposite coordinates
horizontal left
identity

23. What is the slope of a perpendicular line?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=IxI
negative inverse

24. What does the square root function look like on a graph?
(-infinity - +infinity)
odd
even
Line ascending to the right gradually

25. What are the calculator instructions for a standard quadratic equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
in a quotient

26. Why can h not equal zero in the difference of a quotient function formula?
Approach neg toward x through zero and above positive close to x
x=a
because the demintor of a quotient can never equal zero
even

27. 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?
x2-x1 because the demonaitor of a quotient can never equal zero
x = the original sale price and the formula is x - .40x =$276
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)

28. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=suare root of x
f(x) = x
because the demintor of a quotient can never equal zero

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

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30. What does linear equation mean?
Equation of a line
f(x)=x^3
even
Y=10

31. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
A V
inconsistant
m

32. x=all real numbers is what type of an equation?
in a quotient
parraelle line
identity
The secant line

33. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
x math 3 graph
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
Square Root
up

34. What is the domain and range of a constant function?
0<c<1 - horizontal stretching
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

35. What is the domain of the cube root function?
4 -6 -9
Conditional
negative inverse
(-infinity - +infinity)

36. What is the range for a standard quadratic function?
Approach neg toward x through zero and above positive close to x
math 4 x - graph
(-infinity - 0]U[0 - +infinity)
4 -6 -9

37. What type of line is a constant function?
negative inverse
no because you cannot have one domain pointing at two y's or ranges
0<c<1 - horizontal stretching
horizontal

38. Of the seven of algebra's common graph's how many are neither?
Square Root
odd
inconsistant
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

39. what is the letter used to represent slope?
A line passing through two distinct points
(-infinity - 0]U[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
m

40. What is a domain?
odd
The first set of components of an ordered pair
Approach neg toward x through zero and above positive close to x
horizontal left

41. What is the line called that illustrates the straight line between the two points when showing average rate of change?
perpendicular line
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1
The single number y=

42. What type of line is an identity function?
45 degree angle
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x^2 - graph

43. Is an absolute value function even - odd or neither?
even
Cannot be drawn in quizlet
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1

44. what can never equal zero in the slope formula and why?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
in a quotient
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

45. what is a range?
function notation
The second set of components of an ordered pair
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges

46. What are the calculator instructions for the standard cubic function?
A line passing through two distinct points
x math 3 graph
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points

47. What are the calculator instructions for a square root function?
no because you cannot have one domain pointing at two y's or ranges
odd
f of g and g of f
2nd key - x^2 - graph

48. Draw or discuss a decreasing 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.
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
Three odd - cube root - identity - standard cubic

49. What is the formula for the cube root function?
f(x2)-f(x1) / x2-x1
f(x+c) and f(x-c)
f(x)=3 square root x
odd

50. x= a real number is what type of equation?
Conditional
even
The minimum or maximum points
x=a