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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 domain of a square root function?
f(x)=IxI
The first set of components of an ordered pair
[0 -+infinity)
The minimum or maximum points

2. what is a range?
The second set of components of an ordered pair
up
45 degree angle
Y=x - identity function

3. 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
only one
Any set of ordered pairs
function notation

4. When is the only time (-infinity - +infinity) is not the domain?
undefined slope
(-infinity - +infinity)
in a quotient
horizontal

5. What is the range for a standard quadratic function?
A line passing through two distinct points
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
(-infinity - 0]U[0 - +infinity)

6. What is the vertical line formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
When does a graph not define y as a function of x?
x=a
horizontal right

7. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
parabola
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
odd

8. What is the formula for an identity function?
Y
f(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
down

9. What is the domain for an absolute value function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero

10. What are the calculator instructions for the cube root function?
math 4 x - graph
As many as you like
up
Any set of ordered pairs

11. How do you calculate a constant function in your calculator?
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic

12. What does the absolute value function look like?
Any set of ordered pairs
horizontal left
negative inverse
A V

13. 4(x-7)=4x+28 is what type of an equation?
Square Root
inconsitent
Conditional
[0 -+infinity)

14. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
in a quotient
function notation

15. Draw or discuss a decreasing function
f(x+h)-f(x)/h h cannot equal zero
Conditional
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet

16. How are functions normally written?
As equations
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal right

17. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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=x - identity function
The slope of a line containing two points
(-infinity - +infinity)

18. Which direction does f(x-c) move
C>1 - horizontal shrinking
horizontal right
Approach neg toward x through zero and above positive close to x
inconsistant

19. What is the domain for the standard cubic function?
f(x)=IxI
Yes - all the domains points to one range
(-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.

20. What is another way of writing the absolute value function?
odd
Y=IxI
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)

21. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
up
C>1 - horizontal shrinking

22. What is the point slope formula and when do you use it?
parabola
zero slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
negative slope

23. What is the range of the constant function?
f(x)=x^3
because the demintor of a quotient can never equal zero
The single number y=
Cannot be drawn in quizlet

24. What is a relation?
undefined slope
Any set of ordered pairs
x is the hours to repair the boat. $1603-532=anwser/63 = x
The slope of a line containing two points

25. What is the vertex?
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
Line ascending to the right gradually
Cannot be drawn in quizlet
The minimum or maximum points

26. What type of line is a constant function?
parabola
The minimum or maximum points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
horizontal

27. What is the formula for the square root function?
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=suare root of x
f(x)=x^3

28. What are two examples of composit functions?
Y=IxI
m
Line ascending to the right gradually
f of g and g of f

29. what can never equal zero in the slope formula and why?
f of g and g of f
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

30. Of the seven of algebra's common graph's how many are neither?
Cannot be drawn in quizlet
Any set of ordered pairs
Square Root
(-infinity - +infinity)

31. In an identity function if f(10)=x than what is y?
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
Y=10
(f+g) - (f-g) - (fg) - (f/g) all of x

32. How do you graph Ax+By+C=0?
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
identity
zero slope

33. What equation does every line have? Discuss the variables.
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
Set the x and y to zero and get the intercepts and then plot the points
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 minimum or maximum points

34. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Piecewise
even

35. 4(x-7)=4x-28 is what type of an equation?
identity
f(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
0<c<1 - horizontal stretching

36. What is the range of a square root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
f(x+h)-f(x)/h h cannot equal zero

37. What are the four steps for solving a linear equation?
f(x)=IxI
horizontal
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(x)=x^3

38. What are the calculator instructions for the standard cubic function?
The single number y=
f(x)=+c and f(x)-c
x math 3 graph
parraelle line

39. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
When does a graph not define y as a function of x?
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair

40. What type of function would you use to calculate the most advantageous cell phone plan?
same
Y=x^2 - graph
Piecewise
Y=b

41. What type of slope do horizontal lines have?
Square Root
same
because the demintor of a quotient can never equal zero
Y=10

42. What does the square root function look like on a graph?
45 degree angle
Three odd - cube root - identity - standard cubic
Line ascending to the right gradually
As many as you like

43. What type of slope do vertical lines have?
undefined
x=a
in a quotient
C>1 - horizontal shrinking

44. x=no real numbers is what type of an equation?
The secant line
inconsistant
[0 -+infinity)
horizontal

45. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
f(x)=IxI
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
The single number y=

46. What is a function?
x=a
Change in y / change in x = rise / run = y2-y1 / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

47. What is the horizontal line formula?
even
Yes because two x's or domains can point to one y
horizontal
Y=b

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

49. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Yes because two x's or domains can point to one y
negative inverse
4 -6 -9
parabola

50. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
negative inverse
f(x^1)=f(x^2)
(-infinity - +infinity)