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College Algebra Test

Subjects : math, algebra

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 and range of a constant function?
(-infinity - +infinity)
F(x) = x
X^2
Set the x and y to zero and get the intercepts and then plot the points

2. What is the range of the constant function?
Parabola - up one and right three
Identity
The single number y=
Even

3. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
(-infinity - +infinity)
X math 3 graph
Parraelle line

4. What are the four steps for finding the inverse of a function?
X=a
F(x)=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola

5. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Identity
Three odd - cube root - identity - standard cubic
Horizontal right

6. What type of slope do vertical lines have?
Cannot be drawn in quizlet
Identity
Undefined
2nd key - x^2 - graph

7. What type of slope do you have when a line falls left to right and m<0?
Negative slope
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
X^2

8. What are the calculator instructions for 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
2nd key - x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y

9. What type of line is an identity function?
Even
45 degree angle
Mirror image neg quadrant to that of the positive quandrant
Down

10. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
2nd key - x^2 - graph
[0 -+infinity)
F(x)=x^3

11. 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?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
No because you cannot have one domain pointing at two y's or ranges
Parraelle line

12. Is an identity function even - odd or neither?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Line ascending to the right gradually

13. What type of line is a constant function?
C>1 - horizontal shrinking
F(x)=IxI
Horizontal
Negative inverse

14. y=f(cx) What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
F(x)=x^3
0<c<1 - horizontal stretching

15. standard absolute value - horizontal shift formulas for left and right
Math 4 x - graph
As many as you like
F(x+c) and f(x-c)
The first set of components of an ordered pair

16. A flat line underlining one vertical line is a symbol for...
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x)=suare root of x
Parabola - up one and right three
Perpendicular line

17. What is the domain of an identity function?
As equations
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Inconsitent

18. 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
Odd
Because the demintor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. What is the domain for an absolute value function?
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y
(-infinity - +infinity)
F of g and g of f

20. y=f(cx) What does this formula represent?
Y=x^2 - graph
0<c<1 - horizontal stretching
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
45 degree angle

21. In an identity function if f(10)=x than What is y?
Y=10
Negative inverse
[0 -+infinity)
F(x2)-f(x1) / x2-x1

22. What is the domain of the cube root function?
X math 3 graph
Same
(-infinity - +infinity)
Function notation

23. Is the standard cubic function odd - even or neither?
Square Root
20+.05x=5+.10x x=minutes
Odd
F(x2)-f(x1) / x2-x1

24. Is the standard cubic function odd - even or neither?
Odd
F(x) = x
2nd catalog (zero key -) abs(x) - graph
Inconsitent

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

26. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
Inconsitent
Odd
4 -6 -9

27. What is the range of an identity function?
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% = $6000
Yes - all the domains points to one range
M
(-infinity - +infinity)

28. What is the standard quadratic function?
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.
X^2
45 degree angle
Three odd - cube root - identity - standard cubic

29. What is the domain for a standard quadratic function?
(-infinity - +infinity)
F(x)=IxI
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

30. What are the calculator instructions for a square root function?
Yes - all the domains points to one range
F(x+h)-f(x)/h h cannot equal zero
F(x) = x
2nd key - x^2 - graph

31. What is the slope intercept formula? Define all the variables.
C>1 - horizontal shrinking
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the 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
Identity

32. What type of slope do you have when m=? and the line is vertical?
No because you cannot have one domain pointing at two y's or ranges
Y=x^2 - graph
Even
Undefined slope

33. What type of line is an identity function?
F(x)=suare root of x
45 degree angle
F(x)=IxI
No because you cannot have one domain pointing at two y's or ranges

34. What is the range of the cube root function?
45 degree angle
Line ascending to the right gradually
(-infinity - +infinity)
Perpendicular line

35. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Undefined
20+.05x=5+.10x x=minutes
Yes because two x's or domains can point to one y
Line ascending to the right gradually

36. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
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% = $6000
45 degree angle
The first set of components of an ordered pair

37. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
45 degree angle
As equations
45 degree angle

38. What are the algebra of functions?
As equations
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola - up one and right three

39. What is a relation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
Any set of ordered pairs
X2-x1 because the demonaitor of a quotient can never equal zero

40. 4(x-7)=4x-28 is what type of an equation?
Equation of a line
Because the demintor of a quotient can never equal zero
Identity
Line ascending to the right gradually

41. What is the domain for the standard cubic function?
Set the x and y to zero and get the intercepts and then plot the points
Neither
[0 -+infinity)
(-infinity - +infinity)

42. What type of slope do you have when a line rises from left to right and m>0?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Postiive slope
Up

43. Is a standard quadratic function even - odd or neither?
X math 3 graph
Even
Three odd - cube root - identity - standard cubic
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% = $6000

44. What is the vertical line formula?
(f+g) - (f-g) - (fg) - (f/g) all of x
In a quotient
X=a
The opposite coordinates

45. What are two examples of composit functions?
(-infinity - +infinity)
Conditional
F of g and g of f
Piecewise

46. x=no real numbers is what type of an equation?
F(x)=IxI
Horizontal right
The single number y=
Inconsistant

47. What type of line is a constant function?
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
Only one
Odd
Horizontal

48. What type of slope do you have when a line rises from left to right and m>0?
Horizontal right
Postiive slope
Piecewise
X=a

49. Is a constant function even - odd or neither?
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined
Same

50. What is the average rate of change formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Undefined slope
F(x2)-f(x1) / x2-x1
Parabola