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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. y=f(cx) What does this formula represent?
As many as you like
0<c<1 - horizontal stretching
F(x) = x
Zero slope

2. What is the domain and range of a constant function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
As equations
Horizontal

3. What is the standard quadratic function?
X^2
Negative slope
[0 -+infinity)
X math 3 graph

4. What is a constant 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
Horizontal
F(x^1)=f(x^2)
Undefined slope

5. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Neither
The opposite coordinates
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
Postiive slope

6. What is the range of an identity function?
F(x2)-f(x1) / x2-x1
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
F(x)=3 square root x

7. What is the slope intercept formula? Define all the variables.
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity
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

8. How many domains can you have pointing to one range?
X math 3 graph
The first set of components of an ordered pair
F(x+c) and f(x-c)
As many as you like

9. What is the formula for an absolute value function?
F(x)=IxI
As many as you like
The opposite coordinates
Mirror image neg quadrant to that of the positive quandrant

10. Draw or discuss a decreasing function
Down
20+.05x=5+.10x x=minutes
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet

11. What is the domain for the standard cubic function?
The minimum or maximum points
Three odd - cube root - identity - standard cubic
In a quotient
(-infinity - +infinity)

12. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined
(-infinity - +infinity)
Even

13. y=f(cx) What does this formula represent?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Yes because two x's or domains can point to one y
0<c<1 - horizontal stretching

14. What can we substitute for f(x)?
Same
X=a
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
Y

15. Draw or discuss an increasing function
1 -2 -3
X=a
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet

16. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Y=x^2 - graph
(-infinity - +infinity)

17. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
20+.05x=5+.10x x=minutes
Square Root
Yes - all the domains points to one range
X is the hours to repair the boat. $1603-532=anwser/63 = x

18. A flat line underlining one vertical line is a symbol for...
4 -6 -9
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
Perpendicular line

19. Is an absolute value function even - odd or neither?
Even
Zero slope
Postiive slope
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?
Conditional
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
F(x) = x

21. What is the formula for the standard cubic function?
F(x) = x
Even
F(x)=x^3
Yes - all the domains points to one range

22. Two vertical lines side by side are a symbol for what
Conditional
[0 -+infinity)
Parraelle line
The slope of a line containing two points

23. How do you calculate a constant function in your calculator?
Inconsitent
The slope of a line containing two points
Y= then enter the number then press graph
As many as you like

24. What is the range for the standard cubic function?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
[0 -+infinity)
Cannot be drawn in quizlet

25. What is the domain of an identity function?
0<c<1 - horizontal stretching
F(x)=+c and f(x)-c
(-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

26. What type of line is an identity function?
[0 -+infinity)
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
45 degree angle

27. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Yes because two x's or domains can point to one y
As many as you like
Equation of a line

28. Is an identity function even - odd or neither?
Y=x - identity function
Odd
Even
[0 -+infinity)

29. What is the point slope formula and when do you use it?
4 -6 -9
Postiive slope
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

30. Which direction does f(x+c) move
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal left
Parabola - up one and right three
Absolute Value - Constant and Standard Quadratic

31. Is the standard cubic function odd - even or neither?
X math 3 graph
Odd
Piecewise
Even

32. What shape is the standard quadratic function?
Piecewise
Parabola
Cannot be drawn in quizlet
Y

33. What type of line is a constant function?
Y=b
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
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal

34. What type of slope do you have when a line falls left to right and m<0?
F(x^1)=f(x^2)
Negative slope
As equations
4 -6 -9

35. x=no real numbers is what type of an equation?
Square Root
C>1 - horizontal shrinking
Yes - all the domains points to one range
Inconsistant

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=x - identity function
Horizontal
1 -2 -3
Square Root

37. What are the calculator instructions for a square root 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
2nd key - x^2 - graph
Only one
Mirror image neg quadrant to that of the positive quandrant

38. What is the domain of the cube root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)

39. What does the square root function look like on a graph?
In a quotient
Line ascending to the right gradually
X math 3 graph
Conditional

40. 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
F(x)=IxI
As many as you like
Horizontal left

41. What type of slope do you have when a line rises from left to right and m>0?
F(x)=3 square root x
Postiive slope
Horizontal
M

42. How would this formula move f(x)=(x+1)^2-3
2nd catalog (zero key -) abs(x) - graph
Parabola - up one and right three
F(x)=+c and f(x)-c
(-infinity - +infinity)

43. What does the absolute value function look like?
Horizontal
A V
(-infinity - +infinity)
Equation of a line

44. What type of slope do horizontal lines have?
Same
[0 -+infinity)
(-infinity - +infinity)
Conditional

45. What is the range of the constant function?
Parraelle line
The single number y=
X^2
In a quotient

46. In an identity function if f(10)=x than What is y?
F(x+h)-f(x)/h h cannot equal zero
Horizontal left
Math 4 x - graph
Y=10

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

48. Is a standard quadratic function even - odd or neither?
Even
Absolute Value - Constant and Standard Quadratic
The secant line
F(x+h)-f(x)/h h cannot equal zero

49. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Negative slope
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
F(x)=+c and f(x)-c
Identity

50. What type of slope do you have when the line is horizontal and m=0?
Zero slope
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As many as you like