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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. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Conditional
2nd key - x^2 - graph
because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

2. A flat line underlining one vertical line is a symbol for
The single number y=
horizontal
Approach neg toward x through zero and above positive close to x
perpendicular line

3. f(x) = x^2+3x+5 - what type of formula is this?
f(x2)-f(x1) / x2-x1
identity
function notation
f(x)=suare root of x

4. What is another way of writing the absolute value function?
Y=IxI
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
negative inverse
Mirror image neg quadrant to that of the positive quandrant

5. What direction does f(x)-c move in standard absolute value formula?
only one
down
45 degree angle
A line passing through two distinct points

6. What is a constant function?
f(x^1)=f(x^2)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=IxI
f(x+c) and f(x-c)

7. Which direction does f(x-c) move
45 degree angle
m
horizontal right
only one

8. y=f(cx) - what does this formula represent?
(-infinity - +infinity)
undefined
C>1 - horizontal shrinking
45 degree angle

9. what is the letter used to represent slope?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
m

10. y=f(cx) what does this formula represent?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes
0<c<1 - horizontal stretching

11. What is the domain of a square root function?
[0 -+infinity)
As equations
no because you cannot have one domain pointing at two y's or ranges
x = the original sale price and the formula is x - .40x =$276

12. What is the range of the cube root function?
f(x)=suare root of x
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
inconsitent

13. Is a standard quadratic function even - odd or neither?
Any set of ordered pairs
even
Equation of a line
0<c<1 - horizontal stretching

14. what is a range?
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair
(-infinity - +infinity)
0<c<1 - horizontal stretching

15. What is the slope intercept formula? Define all the variables.
Conditional
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
(-infinity - +infinity)

16. $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?
The minimum or maximum points
f(x^1)=f(x^2)
(-infinity - +infinity)
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

17. What is the range of an identity function?
x^2
(-infinity - +infinity)
identity
As many as you like

18. 4x+5x=8x is what type of an equation?
1 -2 -3
horizontal
function notation
Conditional

19. What is the domain for an absolute value function?
(-infinity - +infinity)
2nd key - x^2 - graph
Cannot be drawn in quizlet
negative slope

20. 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?
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
x is the hours to repair the boat. $1603-532=anwser/63 = x
A line passing through two distinct points

21. What is the domain and range of a constant function?
x^2
(-infinity - +infinity)
Y=10
identity

22. What is the vertical line formula?
horizontal
The opposite coordinates
x=a
Conditional

23. What is the average rate of change formula?
inconsistant
f(x2)-f(x1) / x2-x1
A line passing through two distinct points
Y=IxI

24. What is the formula in both horizontal stretching and horizontal shrinking?
Y=10
Any set of ordered pairs
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.

25. What is the formula for to calculate the difference of a quotient function?
Line ascending to the right gradually
up
odd
f(x+h)-f(x)/h h cannot equal zero

26. 4(x-7)=4x-28 is what type of an equation?
As many as you like
identity
perpendicular line
f(x+h)-f(x)/h h cannot equal zero

27. What is a relation?
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)=+c and f(x)-c
Any set of ordered pairs
(f+g) - (f-g) - (fg) - (f/g) all of x

28. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x^2 - graph
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
Three odd - cube root - identity - standard cubic

29. What is the domain for the standard cubic function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
parabola - up one and right three
perpendicular line

30. 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
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x
f(x)=suare root of x

31. Why can h not equal zero in the difference of a quotient function formula?
1 -2 -3
because the demintor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
x2-x1 because the demonaitor of a quotient can never equal zero

32. What type of slope do you have when a line falls left to right and m<0?
The opposite coordinates
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
negative slope
(-infinity - +infinity)

33. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
A V
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph

34. What are the four steps for solving a linear equation?
(-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.
x^2
Square Root

35. What is the slope of a perpendicular line?
The secant line
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
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.
negative inverse

36. Is the square root function odd - even or neither?
neither
horizontal left
As many as you like
in a quotient

37. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - 0]U[0 - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
negative slope
The first set of components of an ordered pair

38. how many domains can you have pointing to one range?
Absolute Value - Constant and Standard Quadratic
2nd key - x^2 - graph
As many as you like
horizontal right

39. What is the range of a square root function?
because the demintor of a quotient can never equal zero
f(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)

40. How do you graph Ax+By+C=0?
inconsistant
Set the x and y to zero and get the intercepts and then plot the points
f(x)=x^3
x^2

41. In an identity function if f(10)=x than what is y?
Y=10
function notation
(-infinity - +infinity)
Y

42. What type of slope do you have when m=? and the line is vertical?
undefined slope
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
x math 3 graph

43. x= a real number is what type of equation?
even
perpendicular line
Conditional
f(x)=suare root of x

44. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
The second set of components of an ordered pair
only one
x2-x1 because the demonaitor of a quotient can never equal zero

45. x=no real numbers is what type of an equation?
inconsistant
Cannot be drawn in quizlet
[0 -+infinity)
horizontal

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
parraelle line
4 -6 -9
When does a graph not define y as a function of x?

47. What points do you use to plot the inverse on a graph?
horizontal
f(x)=x^3
The opposite coordinates
2nd key - x^2 - graph

48. What does the square root function look like on a graph?
(-infinity - +infinity)
Line ascending to the right gradually
x math 3 graph
odd

49. What is the range for an absolute value function?
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero

50. What type of slope do vertical lines have?
The secant line
undefined
Conditional
Conditional