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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 does the absolute value function look like?
F(x)=x^3
X^2
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
A V

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

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3. What type of slope do horizontal lines have?
Same
The first set of components of an ordered pair
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.
Conditional

4. What is the horizontal line formula?
F(x+h)-f(x)/h h cannot equal zero
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.
Cannot be drawn in quizlet
Y=b

5. What are the algebra of functions?
2nd key - x^2 - graph
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

6. What is the domain for an absolute value function?
X math 3 graph
(-infinity - +infinity)
F(x)=3 square root x
Parabola

7. Is an absolute value function even - odd or neither?
Zero slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y
Even

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. $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?
Conditional
X is the hours to repair the boat. $1603-532=anwser/63 = x
Perpendicular line
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

10. What is the domain for an absolute value function?
Absolute Value - Constant and Standard Quadratic
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined
(-infinity - +infinity)

11. What is the domain for the standard cubic function?
[0 -+infinity)
Cannot be drawn in quizlet
(-infinity - +infinity)
Inconsistant

12. What is the formula for to calculate the difference of a quotient function?
Identity
(-infinity - +infinity)
When does a graph not define y as a function of x?
F(x+h)-f(x)/h h cannot equal zero

13. What is the slope intercept formula? Define all the variables.
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.
Inconsitent
X=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

14. f(x) = x^2+3x+5 - what type of formula is this?
Y=b
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Function notation
X2-x1 because the demonaitor of a quotient can never equal zero

15. What is another way of writing the absolute value function?
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
The secant line
Yes - all the domains points to one range
Undefined

17. What type of line is a constant function?
Horizontal
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

18. 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
(-infinity - +infinity)
Conditional
As equations

19. What is the formula for the cube root function?
F(x)=3 square root x
F of g and g of f
Yes - all the domains points to one range
(-infinity - +infinity)

20. Two vertical lines side by side are a symbol for what
F(x)=IxI
When does a graph not define y as a function of x?
Parraelle line
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.

21. What equation does every line have? Discuss the variables.
Line ascending to the right gradually
No because you cannot have one domain pointing at two y's or ranges
Inconsitent
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.

22. Is a constant function even - odd or neither?
(-infinity - +infinity)
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
Even

23. x=all real numbers is what type of an equation?
Identity
Same
4 -6 -9
Y= then enter the number then press graph

24. What type of line is a constant function?
Parabola - up one and right three
Horizontal
Approach neg toward x through zero and above positive close to x
Line ascending to the right gradually

25. What is the formula for an identity function?
Yes - all the domains points to one range
F(x) = x
(-infinity - 0]you[0 - +infinity)
Y=x - identity function

26. How many ranges can you have for each domain?
(-infinity - +infinity)
Only one
(-infinity - +infinity)
The slope of a line containing two points

27. standard absolute value - horizontal shift formulas for left and right
4 -6 -9
(-infinity - +infinity)
F(x+c) and f(x-c)
Y=x - identity function

28. What is the formula for to calculate the difference of a quotient function?
Math 4 x - graph
Up
F(x+h)-f(x)/h h cannot equal zero
The minimum or maximum points

29. What is the domain of the cube root function?
As equations
Identity
Undefined
(-infinity - +infinity)

30. x=all real numbers is what type of an equation?
45 degree angle
Conditional
Identity
F(x)=suare root of x

31. What is the vertical line formula?
1 -2 -3
X=a
Y
0<c<1 - horizontal stretching

32. What type of slope do you have when a line falls left to right and m<0?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Negative slope
Equation of a line
Math 4 x - graph

33. What is the vertical line formula?
A V
Undefined slope
Parabola - up one and right three
X=a

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Same
1 -2 -3
Yes because two x's or domains can point to one y
(-infinity - +infinity)

35. 4x+5x=8x is what type of an equation?
(-infinity - 0]you[0 - +infinity)
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.
Conditional
F(x) = x

36. How are functions normally written?
As equations
F(x)=x^3
Y
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

37. What are the four steps for finding the inverse of a function?
Parabola
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair
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

38. Which direction does f(x)=+c move in standard absolute value formula?
When does a graph not define y as a function of x?
Y= then enter the number then press graph
Yes - all the domains points to one range
Up

39. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Y
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.
Yes because two x's or domains can point to one y

40. What are two examples of composit functions?
Three odd - cube root - identity - standard cubic
Yes because two x's or domains can point to one y
(-infinity - +infinity)
F of g and g of f

41. What is the domain of a square root function?
[0 -+infinity)
M
Mirror image neg quadrant to that of the positive quandrant
Parabola - up one and right three

42. How many domains can you have pointing to one range?
Set the x and y to zero and get the intercepts and then plot the points
The secant line
As many as you like
F(x)=IxI

43. What is a relation?
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points
F(x+c) and f(x-c)
[0 -+infinity)

44. Which direction does f(x-c) move
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal right
No because you cannot have one domain pointing at two y's or ranges
M

45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
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

46. What is the line called that illustrates the straight line between the two points when showing average rate of change?
When does a graph not define y as a function of x?
Down
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line

47. What is the domain and range of a constant function?
4 -6 -9
When does a graph not define y as a function of x?
Odd
(-infinity - +infinity)

48. What is the range of the cube root function?
Even
(-infinity - +infinity)
In a quotient
Even

49. Draw or discuss an increasing function
Cannot be drawn in quizlet
45 degree angle
Parraelle line
(f+g) - (f-g) - (fg) - (f/g) all of x

50. Of the seven of algebra's common graph's how many are even?
F of g and g of f
(-infinity - +infinity)
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic