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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. Which direction does f(x)=+c move in standard absolute value formula?
Up
The single number y=
Conditional
The minimum or maximum points

2. Draw or discuss a constant function
Yes - all the domains points to one range
Y=10
Cannot be drawn in quizlet
As equations

3. What is the range for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
45 degree angle
(-infinity - +infinity)
Even

4. What type of slope do you have when a line falls left to right and m<0?
Y= then enter the number then press graph
Negative slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking

5. What is a range?
Odd
The first set of components of an ordered pair
The second set of components of an ordered pair
Y=x - identity function

6. What is the formula for the square root function?
F(x)=suare root of x
F(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes
Y=10

7. What direction does f(x)-c move in standard absolute value formula?
Function notation
Down
F(x)=IxI
X2-x1 because the demonaitor of a quotient can never equal zero

8. Draw or discuss an increasing function
F(x+c) and f(x-c)
(-infinity - +infinity)
Parraelle line
Cannot be drawn in quizlet

9. What is the formula for the cube root function?
F(x)=3 square root x
[0 -+infinity)
[0 -+infinity)
Square Root

10. What are the calculator instructions for the cube root function?
Math 4 x - graph
The minimum or maximum points
Even
F(x+h)-f(x)/h h cannot equal zero

11. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Y
Approach neg toward x through zero and above positive close to x
Odd

12. What is the letter used to represent slope?
Yes - all the domains points to one range
M
Horizontal
Equation of a line

13. What is a relation?
The first set of components of an ordered pair
Any set of ordered pairs
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

14. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Negative inverse
Line ascending to the right gradually
Horizontal left

15. What is the formula for an absolute value function?
F(x)=IxI
(-infinity - +infinity)
Parraelle line
Three odd - cube root - identity - standard cubic

16. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Cannot be drawn in quizlet
Y
X = the original sale price and the formula is x - .40x =$276
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

17. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x

18. What does the square root function look like on a graph?
Line ascending to the right gradually
[0 -+infinity)
1 -2 -3
2nd catalog (zero key -) abs(x) - graph

19. What are the steps for solving a word problem?
Horizontal right
Function notation
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
F of g and g of f

20. How do you calculate a constant function in your calculator?
Function notation
2nd catalog (zero key -) abs(x) - graph
Undefined slope
Y= then enter the number then press graph

21. How many domains can you have pointing to one range?
As many as you like
Line ascending to the right gradually
Piecewise
Even

22. What shape is the standard quadratic function?
Even
Parabola
The minimum or maximum points
Down

23. What is the formula in both horizontal stretching and horizontal shrinking?
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Mirror image neg quadrant to that of the positive quandrant

24. y=f(cx) What does this formula represent?
F(x)=+c and f(x)-c
Zero slope
0<c<1 - horizontal stretching
(f+g) - (f-g) - (fg) - (f/g) all of x

25. What does the standard cubic function look like on a graph?
The second set of components of an ordered pair
Yes because two x's or domains can point to one y
No because you cannot have one domain pointing at two y's or ranges
Mirror image neg quadrant to that of the positive quandrant

26. What is the formula for to calculate the difference of a quotient function?
As many as you like
Cannot be drawn in quizlet
Identity
F(x+h)-f(x)/h h cannot equal zero

27. x=no real numbers is what type of an equation?
C>1 - horizontal shrinking
Inconsistant
Even
The single number y=

28. x=all real numbers is what type of an equation?
4 -6 -9
Identity
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph

29. What are the calculator instructions for absolute value?
Inconsistant
F(x+h)-f(x)/h h cannot equal zero
F of g and g of f
2nd catalog (zero key -) abs(x) - graph

30. 4(x-7)=4x-28 is what type of an equation?
(-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% = $6000
Identity
(-infinity - +infinity)

31. What is the range for an absolute value 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)
Inconsitent

32. What is the domain and range of a constant function?
Perpendicular 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
Parabola

33. What is the domain for an absolute value function?
Even
Cannot be drawn in quizlet
Y=x^2 - graph
(-infinity - +infinity)

34. What type of line is a constant 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
F of g and g of f
Because the demintor of a quotient can never equal zero
Horizontal

35. What is a relation?
Y=b
A V
Any set of ordered pairs
No because you cannot have one domain pointing at two y's or ranges

36. How do you graph Ax+By+C=0?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Same
Set the x and y to zero and get the intercepts and then plot the points
No because you cannot have one domain pointing at two y's or ranges

37. Draw or discuss a constant function
Horizontal right
Cannot be drawn in quizlet
Square Root
X^2

38. 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
Piecewise
The single number y=
45 degree angle

39. Is the square root function odd - even or neither?
Neither
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant
45 degree angle

40. What is the vertical line formula?
X=a
When does a graph not define y as a function of x?
Same
The second set of components of an ordered pair

41. standard absolute value - horizontal shift formulas for left and right
Y= then enter the number then press graph
F(x+c) and f(x-c)
F(x)=suare root of x
Because the demintor of a quotient can never equal zero

42. What is the range of the cube root function?
Cannot be drawn in quizlet
(-infinity - +infinity)
Down
The first set of components of an ordered pair

43. What points do you use to plot the inverse on a graph?
Even
The opposite coordinates
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

44. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
X=a
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X=a

45. What is the domain for the standard cubic function?
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.
In a quotient
Identity
(-infinity - +infinity)

46. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Only one
Horizontal
Y=10

47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
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
Conditional

48. What is the formula for an absolute value function?
Negative inverse
(-infinity - 0]you[0 - +infinity)
F(x)=IxI
C>1 - horizontal shrinking

49. What is a function?
(-infinity - +infinity)
Odd
F(x)=x^3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

50. What is another way to write f(x)=x - what type of function is this?
Piecewise
X=a
F(x^1)=f(x^2)
Y=x - identity function