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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
Any set of ordered pairs
A V
Function notation
Horizontal right

2. Which direction does f(x)=+c move in standard absolute value formula?
Even
Perpendicular line
Up
Line ascending to the right gradually

3. What is the vertex?
The minimum or maximum points
X = the original sale price and the formula is x - .40x =$276
Zero slope
M

4. What is a domain?
The first set of components of an ordered pair
F(x^1)=f(x^2)
(-infinity - +infinity)
The second set of components of an ordered pair

5. What are the calculator instructions for the standard cubic function?
X math 3 graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
In a quotient
Identity

6. What type of slope do horizontal lines have?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
[0 -+infinity)
Same

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Parabola
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
The secant line

8. What is the domain for the standard cubic function?
Any set of ordered pairs
(-infinity - +infinity)
4 -6 -9
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

9. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Cannot be drawn in quizlet
X^2
Conditional

10. How would this formula move f(x)=(x+1)^2-3
Only one
Parabola - up one and right three
F(x)=+c and f(x)-c
Zero slope

11. How do you graph Ax+By+C=0?
X=a
The slope of a line containing two points
Function notation
Set the x and y to zero and get the intercepts and then plot the points

12. Draw or discuss a constant function
In a quotient
F(x)=IxI
0<c<1 - horizontal stretching
Cannot be drawn in quizlet

13. Draw or discuss a decreasing function
Odd
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
Cannot be drawn in quizlet

14. What is slope?
In a quotient
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

15. 4x+5x=8x is what type of an equation?
Conditional
Undefined
The single number y=
(-infinity - +infinity)

16. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
F(x)=IxI
Y=x - identity function
Because the demintor of a quotient can never equal zero

17. What is the domain and range of a constant function?
Negative inverse
Math 4 x - graph
(-infinity - +infinity)
Odd

18. What is the range of the constant function?
Piecewise
X = the original sale price and the formula is x - .40x =$276
Odd
The single number y=

19. What is the domain of a square root function?
[0 -+infinity)
Horizontal
Y=10
Mirror image neg quadrant to that of the positive quandrant

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

21. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Conditional
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

22. Two vertical lines side by side are a symbol for what
Square Root
Because the demintor of a quotient can never equal zero
X=a
Parraelle line

23. What is the range of the cube root function?
(-infinity - +infinity)
F(x)=suare root of x
Up
Y= then enter the number then press graph

24. 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
Down
Parraelle line

25. y=f(cx) - What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking
Y= then enter the number then press graph
F(x)=x^3

26. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
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.
Line ascending to the right gradually
Postiive slope

27. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
(-infinity - +infinity)
Horizontal
Even

28. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
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
Negative slope
Y=x^2 - graph

29. standard absolute value - vertical shift formulas for positve and negative
Yes because two x's or domains can point to one y
Identity
Even
F(x)=+c and f(x)-c

30. In an identity function if f(10)=x than What is y?
F(x) = x
Odd
Y=10
Negative inverse

31. How are functions normally written?
(-infinity - +infinity)
Undefined
Conditional
As equations

32. What is the formula for the standard cubic function?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
F(x)=x^3
Horizontal left

33. What does the absolute value function look like?
Up
A V
As equations
Conditional

34. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Zero slope
20+.05x=5+.10x x=minutes
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.

35. Is a standard quadratic function even - odd or neither?
F(x)=3 square root x
Even
45 degree angle
(-infinity - +infinity)

36. Draw or discuss a constant function
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet
[0 -+infinity)
(-infinity - +infinity)

37. What is the domain and range of a constant function?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Square Root
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.

38. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Identity
Horizontal right
Mirror image neg quadrant to that of the positive quandrant
4 -6 -9

39. What type of line is a constant function?
Horizontal right
The first set of components of an ordered pair
X = the original sale price and the formula is x - .40x =$276
Horizontal

40. 4x+5x=8x is what type of an equation?
20+.05x=5+.10x x=minutes
Conditional
Same
(f+g) - (f-g) - (fg) - (f/g) all of x

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

42. What can we substitute for f(x)?
(-infinity - 0]you[0 - +infinity)
X^2
F of g and g of f
Y

43. What points do you use to plot the inverse on a graph?
(-infinity - 0]you[0 - +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
The opposite coordinates
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. What is a range?
Inconsistant
Undefined
4 -6 -9
The second set of components of an ordered pair

45. Is a standard quadratic function even - odd or neither?
Three odd - cube root - identity - standard cubic
Even
(-infinity - +infinity)
Y=IxI

46. What are the calculator instructions for a standard quadratic equation?
F(x)=IxI
Y=x^2 - graph
F(x+c) and f(x-c)
Because the demintor of a quotient can never equal zero

47. What type of slope do horizontal lines have?
X2-x1 because the demonaitor of a quotient can never equal zero
Only one
Same
Postiive slope

48. What are the four steps for solving a linear equation?
Up
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.
[0 -+infinity)
Parabola

49. What is the vertical line test?
Neither
2nd key - x^2 - graph
When does a graph not define y as a function of x?
Inconsitent

50. y=f(cx) What does this formula represent?
Odd
F of g and g of f
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching