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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)
X=a
Odd
4 -6 -9

2. What are the calculator instructions for a square root function?
Same
45 degree angle
2nd key - x^2 - graph
45 degree angle

3. 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
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
F of g and g of f

4. Which direction does f(x-c) move
F of g and g of f
Horizontal right
Parabola - up one and right three
Conditional

5. What is the domain for a standard quadratic function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
The minimum or maximum points
Y= then enter the number then press graph

6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

7. 4(x-7)=4x-28 is what type of an equation?
Identity
Piecewise
4 -6 -9
Down

8. Is a standard quadratic function even - odd or neither?
Even
Line ascending to the right gradually
Math 4 x - graph
C>1 - horizontal shrinking

9. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
When does a graph not define y as a function of x?
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.
F(x)=suare root of x

10. How are functions normally written?
In a quotient
As equations
F(x)=IxI
No because you cannot have one domain pointing at two y's or ranges

11. What is the formula for the standard cubic function?
F(x)=x^3
Horizontal
Y= then enter the number then press graph
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

12. y=f(cx) What does this formula represent?
Any set of ordered pairs
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
0<c<1 - horizontal stretching

13. What is the formula for to calculate the difference of a quotient function?
X=a
Even
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+h)-f(x)/h h cannot equal zero

14. What is another way to write f(x)=x - what type of function is this?
Even
Y=x - identity function
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

15. What is the domain for a standard quadratic function?
Y=10
Odd
(-infinity - +infinity)
Yes - all the domains points to one range

16. Draw or discuss an increasing function
C>1 - horizontal shrinking
(-infinity - +infinity)
The second set of components of an ordered pair
Cannot be drawn in quizlet

17. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x)=x^3
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
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
Horizontal

18. What is the domain for an absolute value function?
Line ascending to the right gradually
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Odd

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Horizontal left
The secant line
Up
Yes - all the domains points to one range

20. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
45 degree angle
[0 -+infinity)
F(x)=3 square root x
4 -6 -9

21. Why can h not equal zero in the difference of a quotient function formula?
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=x^3
Neither
Because the demintor of a quotient can never equal zero

22. What are the steps for solving a word problem?
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
X = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph

23. What does the absolute value function look like?
A V
Parraelle line
(-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

24. Is the standard cubic function odd - even or neither?
Odd
M
Three odd - cube root - identity - standard cubic
Y

25. y=f(cx) What does this formula represent?
Parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
0<c<1 - horizontal stretching
F(x+c) and f(x-c)

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Identity
1 -2 -3
Inconsistant
A V

27. Draw or discuss a constant function
(-infinity - +infinity)
F(x)=x^3
Y
Cannot be drawn in quizlet

28. What type of line is an identity function?
45 degree angle
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
Approach neg toward x through zero and above positive close to x
The second set of components of an ordered pair

29. What is a relation?
Any set of ordered pairs
X=a
Undefined slope
Identity

30. Of the seven of algebra's common graph's how many are odd?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
The secant line

31. What is the domain of the cube root function?
(-infinity - +infinity)
Undefined
[0 -+infinity)
Identity

32. What is the horizontal line formula?
Same
Conditional
Y=b
Parraelle line

33. What is another way of writing the absolute value function?
Conditional
[0 -+infinity)
Y=IxI
Conditional

34. What is the range for an absolute value function?
Even
2nd catalog (zero key -) abs(x) - graph
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.
(-infinity - 0]you[0 - +infinity)

35. What does the average rate of change formula solve?
Neither
45 degree angle
F(x2)-f(x1) / x2-x1
The slope of a line containing two points

36. What type of slope do vertical lines have?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Cannot be drawn in quizlet
Undefined

37. How many domains can you have pointing to one range?
As many as you like
The first set of components of an ordered pair
Math 4 x - graph
Identity

38. x=all real numbers is what type of an equation?
The second set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Identity
(-infinity - +infinity)

39. x= a real number is what type of equation?
Conditional
F(x+h)-f(x)/h h cannot equal zero
Negative inverse
45 degree angle

40. x=no real numbers is what type of an equation?
X=a
(-infinity - 0]you[0 - +infinity)
Inconsistant
(-infinity - +infinity)

41. What is a function?
20+.05x=5+.10x x=minutes
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range
Parraelle line

42. What is the letter used to represent slope?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
M
Y
Approach neg toward x through zero and above positive close to x

43. What is an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.
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.
45 degree angle

44. What is the range for the standard cubic function?
Y=10
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Perpendicular line

45. What is a domain?
Horizontal
The first set of components of an ordered pair
Even
Conditional

46. What is the range of the cube root function?
[0 -+infinity)
Line ascending to the right gradually
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
(-infinity - +infinity)

47. What is the formula for an absolute value function?
Up
(-infinity - +infinity)
Equation of a line
F(x)=IxI

48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Negative inverse
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.
The first set of components of an ordered pair
The secant line

49. Is an identity function even - odd or neither?
F(x+c) and f(x-c)
Up
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

50. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
F(x^1)=f(x^2)
F of g and g of f
F(x)=+c and f(x)-c