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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?
Even
(-infinity - +infinity)
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)

2. What are the calculator instructions for a square root function?
0<c<1 - horizontal stretching
2nd key - x^2 - graph
(-infinity - +infinity)
[0 -+infinity)

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

4. How are functions normally written?
2nd catalog (zero key -) abs(x) - graph
Negative slope
As equations
X is the hours to repair the boat. $1603-532=anwser/63 = x

5. What type of slope do you have when a line falls left to right and m<0?
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
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Negative slope

6. Draw or discuss an increasing function
F(x+c) and f(x-c)
Cannot be drawn in quizlet
Y= then enter the number then press graph
Undefined

7. What is the domain for the standard cubic function?
As many as you like
Equation of a line
(-infinity - +infinity)
A V

8. What is the formula for the cube root function?
Yes because two x's or domains can point to one y
F(x)=3 square root x
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.

9. In an identity function if f(10)=x than What is y?
Y= then enter the number then press graph
Undefined slope
Y=10
Line ascending to the right gradually

10. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Line ascending to the right gradually
Three odd - cube root - identity - standard cubic
Y=IxI

11. Is an absolute value function even - odd or neither?
1 -2 -3
Even
When does a graph not define y as a function of x?
Postiive slope

12. What is the slope of a perpendicular line?
(-infinity - +infinity)
Zero slope
Negative inverse
Absolute Value - Constant and Standard Quadratic

13. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Function notation

14. What are the calculator instructions for a standard quadratic equation?
Y=x - identity function
Y=x^2 - graph
Square Root
Set the x and y to zero and get the intercepts and then plot the points

15. What is the domain of a square root function?
[0 -+infinity)
F(x)=x^3
Inconsistant
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.

16. Draw or discuss an increasing function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Equation of a line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Cannot be drawn in quizlet

17. Which direction does f(x)=+c move in standard absolute value formula?
Even
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.
Up
Mirror image neg quadrant to that of the positive quandrant

18. What is the vertical line test?
When does a graph not define y as a function of x?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X math 3 graph
[0 -+infinity)

19. What is the formula in both horizontal stretching and horizontal shrinking?
The first set of components of an ordered pair
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Perpendicular line

20. Is the standard cubic function odd - even or neither?
Odd
F(x)=suare root of x
Inconsistant
Absolute Value - Constant and Standard Quadratic

21. What is the domain of a square root function?
Odd
[0 -+infinity)
Parabola - up one and right three
X=a

22. Of the seven of algebra's common graph's how many are odd?
(-infinity - 0]you[0 - +infinity)
Identity
Undefined slope
Three odd - cube root - identity - standard cubic

23. What can we substitute for f(x)?
Parabola - up one and right three
Y
Y=x^2 - graph
X math 3 graph

24. What are the calculator instructions for the cube root function?
2nd key - x^2 - graph
Math 4 x - graph
X=a
(-infinity - +infinity)

25. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Horizontal right
When does a graph not define y as a function of x?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function

26. What is the formula for the cube root function?
Down
Parabola
Y=x - identity function
F(x)=3 square root x

27. What is the range of the constant function?
The second set of components of an ordered pair
Odd
The single number y=
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

28. f(x) = x^2+3x+5 - what type of formula is this?
M
0<c<1 - horizontal stretching
Mirror image neg quadrant to that of the positive quandrant
Function notation

29. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Negative slope
The second set of components of an ordered pair
Identity

30. What is the domain for an absolute value function?
Y=IxI
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Perpendicular line

31. What are the calculator instructions for absolute value?
Piecewise
F(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

32. How many ranges can you have for each domain?
Parabola - up one and right three
Only one
Undefined
Cannot be drawn in quizlet

33. How do you calculate a constant function in your calculator?
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero

34. What is the domain for an absolute value function?
(-infinity - 0]you[0 - +infinity)
X^2
1 -2 -3
(-infinity - +infinity)

35. Draw or discuss a constant function
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Y
X^2

36. Of the seven of algebra's common graph's how many are odd?
The slope of a line containing two points
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.
C>1 - horizontal shrinking
Three odd - cube root - identity - standard cubic

37. What are the calculator instructions for the standard cubic function?
Identity
Perpendicular line
X math 3 graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

38. What is the point slope formula and when do you use it?
Y=x - identity function
Parraelle line
Y=x - identity function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

39. What type of line is a constant function?
1 -2 -3
Y
Horizontal
F(x)=x^3

40. x=no real numbers is what type of an equation?
Y
Horizontal
(-infinity - +infinity)
Inconsistant

41. What is a range?
45 degree angle
(-infinity - +infinity)
The second set of components of an ordered pair
Same

42. What is the vertex?
The minimum or maximum points
Undefined slope
(-infinity - +infinity)
Horizontal

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
Inconsitent
(-infinity - +infinity)
1 -2 -3

44. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Odd
Math 4 x - graph
F(x)=3 square root x

45. What is the formula for to calculate the difference of a quotient 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
Parabola
Zero slope
F(x+h)-f(x)/h h cannot equal zero

46. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Horizontal left
Y=b
Even

47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
X math 3 graph
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
Line ascending to the right gradually
(-infinity - +infinity)

48. What is the formula for the square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=suare root of x
Piecewise
Y=x^2 - graph

49. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Horizontal right
20+.05x=5+.10x x=minutes
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

50. What does linear equation mean?
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 line passing through two distinct points
Horizontal
Equation of a line