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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 type of line is an identity function?
45 degree angle
20+.05x=5+.10x x=minutes
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
undefined slope

2. How do you calculate a constant function in your calculator?
f(x+h)-f(x)/h h cannot equal zero
f(x^1)=f(x^2)
Yes - all the domains points to one range
Y= then enter the number then press graph

3. What are the calculator instructions for absolute value?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The first set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph

4. x=all real numbers is what type of an equation?
even
even
identity
x = the original sale price and the formula is x - .40x =$276

5. What is the domain of a square root function?
[0 -+infinity)
Y=IxI
identity
f(x^1)=f(x^2)

6. What does the average rate of change formula solve?
Conditional
The slope of a line containing two points
As equations
negative slope

7. y=f(cx) what does this formula represent?
m
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
0<c<1 - horizontal stretching

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
math 4 x - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
down
Conditional

9. y=f(cx) - what does this formula represent?
The single number y=
same
As many as you like
C>1 - horizontal shrinking

10. What does the standard cubic function look like on a graph?
in a quotient
The secant line
Mirror image neg quadrant to that of the positive quandrant
Y

11. What type of line is a constant function?
x=a
x^2
in a quotient
horizontal

12. What type of slope do you have when m=? and the line is vertical?
even
As many as you like
undefined slope
2nd key - x^2 - graph

13. What is a relation?
Any set of ordered pairs
zero slope
0<c<1 - horizontal stretching
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

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

15. 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?
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
same
x is the hours to repair the boat. $1603-532=anwser/63 = x

16. how many domains can you have pointing to one range?
because the demintor of a quotient can never equal zero
f(x)=x^3
As many as you like
parabola

17. What is the range of a square root function?
f(x)=IxI
C>1 - horizontal shrinking
The second set of components of an ordered pair
[0 -+infinity)

18. What is the domain of the cube root function?
no because you cannot have one domain pointing at two y's or ranges
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

19. What is the slope of a perpendicular line?
negative inverse
Y= then enter the number then press graph
Cannot be drawn in quizlet
m

20. What is the formula for the square root function?
even
The single number y=
f(x)=suare root of 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

21. What type of slope do vertical lines have?
Mirror image neg quadrant to that of the positive quandrant
f(x+h)-f(x)/h h cannot equal zero
zero slope
undefined

22. Of the seven of algebra's common graph's how many are neither?
Yes because two x's or domains can point to one y
down
even
Square Root

23. Which direction does f(x-c) move
0<c<1 - horizontal stretching
Conditional
horizontal right
(f+g) - (f-g) - (fg) - (f/g) all of x

24. What is the formula in both horizontal stretching and horizontal shrinking?
x=a
Cannot be drawn in quizlet
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
odd

25. 4x+5x=8x is what type of an equation?
identity
undefined slope
Conditional
horizontal

26. What is the vertical line test?
f(x+h)-f(x)/h h cannot equal zero
When does a graph not define y as a function of x?
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. how many ranges can you have for each domain?
only one
down
Y= then enter the number then press graph
undefined slope

28. Draw or discuss a constant function
Y=x^2 - graph
Cannot be drawn in quizlet
As many as you like
down

29. Is a standard quadratic function even - odd or neither?
(-infinity - 0]U[0 - +infinity)
even
The second set of components of an ordered pair
Cannot be drawn in quizlet

30. How do you graph Ax+By+C=0?
Conditional
f(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?

31. What is another way to write f(x)=x - what type of function is this?
f(x)=suare root of x
negative inverse
postiive slope
Y=x - identity function

32. What is an identity function?
45 degree angle
horizontal
inconsitent
negative slope

33. Two vertical lines side by side are a symbol for what
x math 3 graph
parraelle line
perpendicular line
45 degree angle

34. What is the formula for an absolute value function?
A line passing through two distinct points
f(x^1)=f(x^2)
f(x)=IxI
undefined slope

35. What type of slope do you have when a line rises from left to right and m>0?
Yes - all the domains points to one range
Y=IxI
f(x)=3 square root x
postiive slope

36. x=no real numbers is what type of an equation?
inconsistant
because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
horizontal

37. What does the square root function look like on a graph?
Line ascending to the right gradually
As many as you like
The slope of a line containing two points
Conditional

38. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Conditional
20+.05x=5+.10x x=minutes
only one

39. What is the horizontal line formula?
Y=b
The opposite coordinates
horizontal
Y=x - identity function

40. What is the formula for the cube root function?
even
f(x)=3 square root x
(-infinity - +infinity)
Y=x^2 - graph

41. What direction does f(x)-c move in standard absolute value formula?
postiive slope
(-infinity - 0]U[0 - +infinity)
f of g and g of f
down

42. What equation does every line have? Discuss the variables.
x=a
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+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

43. Which direction does f(x)=+c move in standard absolute value formula?
math 4 x - graph
up
Absolute Value - Constant and Standard Quadratic
The second set of components of an ordered pair

44. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking

45. What is the formula for to calculate the difference of a quotient function?
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(x+h)-f(x)/h h cannot equal zero
perpendicular line
Equation of a line

46. Is an absolute value function even - odd or neither?
in a quotient
The minimum or maximum points
inconsistant
even

47. What is the point slope formula and when do you use it?
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
inconsistant
(-infinity - +infinity)

48. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Any set of ordered pairs
in a quotient
f(x) = x

49. What type of slope do you have when the line is horizontal and m=0?
inconsistant
zero slope
undefined slope
horizontal left

50. What does the graph of the cube root function look like on the graph?
inconsistant
identity
m
Approach neg toward x through zero and above positive close to x