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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 does the average rate of change formula solve?
Y
undefined slope
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

2. What does the absolute value function look like?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
same

3. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
f(x+c) and f(x-c)
only one
Conditional

4. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
The minimum or maximum points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1 -2 -3
[0 -+infinity)

5. What type of slope do you have when a line rises from left to right and m>0?
in a quotient
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
postiive slope
m

6. 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
Y=x^2 - graph
Y
Conditional

7. What is the domain and range of a constant function?
Y=b
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
Any set of ordered pairs
(-infinity - +infinity)

8. What type of line is an identity function?
(-infinity - 0]U[0 - +infinity)
45 degree angle
undefined slope
f(x)=+c and f(x)-c

9. What are the algebra of functions?
parraelle line
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?
x math 3 graph

10. What is the point slope formula and when do you use it?
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
When does a graph not define y as a function of x?

11. What is the formula for the standard cubic function?
because the demintor of a quotient can never equal zero
f(x)=x^3
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y

12. What is another way of writing the absolute value function?
[0 -+infinity)
As equations
Y=IxI
Any set of ordered pairs

13. Is a standard quadratic function even - odd or neither?
Yes because two x's or domains can point to one y
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
even
f of g and g of f

14. What is the standard quadratic function?
x^2
even
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
[0 -+infinity)

15. Which direction does f(x)=+c move in standard absolute value formula?
even
up
Y=IxI
4 -6 -9

16. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
undefined
odd
neither

17. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
C>1 - horizontal shrinking
(-infinity - +infinity)
odd

18. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
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
neither
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.
20+.05x=5+.10x x=minutes

19. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V
Square Root

20. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
As equations
negative slope
45 degree angle

21. Why can h not equal zero in the difference of a quotient function formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
zero slope
[0 -+infinity)
because the demintor of a quotient can never equal zero

22. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Conditional
Cannot be drawn in quizlet
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= then enter the number then press graph

23. Is an absolute value function even - odd or neither?
Any set of ordered pairs
Cannot be drawn in quizlet
As equations
even

24. What is the formula for the square root function?
f(x)=3 square root x
(-infinity - +infinity)
f(x)=suare root of x
postiive slope

25. How are functions normally written?
As equations
parabola
Cannot be drawn in quizlet
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

26. How do you graph Ax+By+C=0?
(-infinity - +infinity)
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points
Y

27. In an identity function if f(10)=x than what is y?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10

28. 4x+5x=8x is what type of an equation?
Conditional
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
same

29. Which direction does f(x+c) move
Piecewise
20+.05x=5+.10x x=minutes
horizontal left
no because you cannot have one domain pointing at two y's or ranges

30. What are the four steps for solving a linear equation?
odd
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.
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
undefined

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

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32. What type of line is a constant function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
horizontal
(-infinity - +infinity)

33. Of the seven of algebra's common graph's how many are neither?
m
math 4 x - graph
Square Root
A V

34. What is slope?
f(x) = 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
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant

35. What can we substitute for f(x)?
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
f(x)=x^3
Y

36. f(x) = x^2+3x+5 - what type of formula is this?
x2-x1 because the demonaitor of a quotient can never equal zero
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.
function notation
1 -2 -3

37. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Mirror image neg quadrant to that of the positive quandrant
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
negative inverse

38. What type of slope do vertical lines have?
0<c<1 - horizontal stretching
(-infinity - +infinity)
undefined
x is the hours to repair the boat. $1603-532=anwser/63 = x

39. What is a relation?
Y=x - identity function
Any set of ordered pairs
identity
parabola - up one and right three

40. Of the seven of algebra's common graph's how many are even?
(-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.
The first set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic

41. Draw or discuss a constant function
x=a
Cannot be drawn in quizlet
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

42. What type of slope do horizontal lines have?
identity
Y=10
same
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. 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
f(x) = x
(-infinity - +infinity)

44. Is the standard cubic function odd - even or neither?
odd
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.
Yes - all the domains points to one range
identity

45. What is an identity function?
undefined slope
45 degree angle
odd
When does a graph not define y as a function of x?

46. What is a domain?
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal
Yes because two x's or domains can point to one y

47. What shape is the standard quadratic function?
parabola
The slope of a line containing two points
inconsistant
odd

48. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
[0 -+infinity)
f(x)=IxI
The first set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276

49. What is the domain of the cube root function?
Y=x - identity function
math 4 x - graph
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

50. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
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
Conditional