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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 standard quadratic function?
The single number y=
The second set of components of an ordered pair
x^2
(-infinity - +infinity)

2. What points do you use to plot the inverse on a graph?
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined slope
The opposite coordinates
Y=x - identity function

3. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
inconsistant
f(x)=x^3
math 4 x - graph

4. f(x) = x^2+3x+5 - what type of formula is this?
A V
in a quotient
x = the original sale price and the formula is x - .40x =$276
function notation

5. What is the slope of a perpendicular line?
(-infinity - +infinity)
same
[0 -+infinity)
negative inverse

6. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
down
Y
Square Root

7. What is the formula for the square root function?
f(x)=suare root of x
Equation of a line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

8. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y
f(x+h)-f(x)/h h cannot equal zero
1 -2 -3
The secant line

9. 4(x-7)=4x+28 is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
inconsitent
The second set of components of an ordered pair
Cannot be drawn in quizlet

10. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
because the demintor of a quotient can never equal zero
Y= then enter the number then press graph
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276

11. y=f(cx) what does this formula represent?
Y=IxI
As equations
0<c<1 - horizontal stretching
undefined

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

13. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
because the demintor of a quotient can never equal zero
Y=x - identity function
inconsitent

14. What type of function would you use to calculate the most advantageous cell phone plan?
Conditional
45 degree angle
Conditional
Piecewise

15. What is the domain of a square root function?
even
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
Cannot be drawn in quizlet

16. What can we substitute for f(x)?
Set the x and y to zero and get the intercepts and then plot the points
horizontal left
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

17. What is the domain and range of a constant function?
perpendicular line
Approach neg toward x through zero and above positive close to x
even
(-infinity - +infinity)

18. What is the point slope formula and when do you use it?
A V
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

19. Which direction does f(x)=+c move in standard absolute value formula?
even
function notation
perpendicular line
up

20. What is the range for the standard cubic function?
m
45 degree angle
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

21. x=no real numbers is what type of an equation?
horizontal left
A V
inconsistant
odd

22. What is the formula for an absolute value function?
f(x+c) and f(x-c)
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=IxI

23. What is the domain for an absolute value function?
f(x)=+c and f(x)-c
odd
Y=b
(-infinity - +infinity)

24. What is slope?
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
A line passing through two distinct points
Conditional

25. What is the domain for the standard cubic function?
As equations
Yes - all the domains points to one range
The second set of components of an ordered pair
(-infinity - +infinity)

26. Is an absolute value function even - odd or neither?
even
Set the x and y to zero and get the intercepts and then plot the points
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes

27. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
The first set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
zero slope

28. What is the domain of an identity function?
Conditional
(-infinity - +infinity)
45 degree angle
C>1 - horizontal shrinking

29. What direction does f(x)-c move in standard absolute value formula?
C>1 - horizontal shrinking
f(x) = x
down
undefined slope

30. What is the horizontal line formula?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
Conditional
Y=b

31. What type of slope do you have when the line is horizontal and m=0?
Conditional
because the demintor of a quotient can never equal zero
zero slope
Any set of ordered pairs

32. $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?
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
inconsistant
parabola
The single number y=

33. What is the formula for the standard cubic function?
f(x)=x^3
Conditional
Y=IxI
Approach neg toward x through zero and above positive close to x

34. What is the range of an identity function?
identity
even
f(x)=IxI
(-infinity - +infinity)

35. What is the vertex?
x=a
The slope of a line containing two points
The minimum or maximum points
parraelle line

36. What is the range of a square root function?
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
A V
[0 -+infinity)

37. What type of line is a constant function?
horizontal
Y
The slope of a line containing two points
identity

38. What does the average rate of change formula solve?
The slope of a line containing two points
The secant line
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

39. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
f(x+h)-f(x)/h h cannot equal zero
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

40. What is the formula for an identity function?
f(x) = x
(-infinity - +infinity)
m
only one

41. What are two examples of composit functions?
even
f of g and g of f
C>1 - horizontal shrinking
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

42. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
m
20+.05x=5+.10x x=minutes
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

43. What is the domain for a standard quadratic function?
As equations
Square Root
(-infinity - +infinity)
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.

44. 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?
1 -2 -3
f(x+h)-f(x)/h h cannot equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.

45. Draw or discuss a decreasing function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet
x^2
20+.05x=5+.10x x=minutes

46. How would this formula move f(x)=(x+1)^2-3
(-infinity - +infinity)
The first set of components of an ordered pair
parabola - up one and right three
undefined

47. x= a real number is what type of equation?
Cannot be drawn in quizlet
Conditional
same
x = the original sale price and the formula is x - .40x =$276

48. What type of slope do you have when m=? and the line is vertical?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Cannot be drawn in quizlet
undefined slope

49. What is a relation?
(-infinity - +infinity)
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
Any set of ordered pairs
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

50. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes
Mirror image neg quadrant to that of the positive quandrant
The slope of a line containing two points