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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. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
A line passing through two distinct points
F of g and g of f

2. Is a constant function even - odd or neither?
Parabola - up one and right three
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero
Even

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

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4. Which direction does f(x-c) move
C>1 - horizontal shrinking
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Horizontal right

5. What is the domain and range of a constant function?
(-infinity - +infinity)
Even
Y=x^2 - graph
20+.05x=5+.10x x=minutes

6. What are the steps for solving a word problem?
X math 3 graph
Cannot be drawn in quizlet
Piecewise
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

7. Draw or discuss an increasing function
Odd
As equations
Odd
Cannot be drawn in quizlet

8. What type of slope do you have when the line is horizontal and m=0?
Zero slope
F(x)=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)

9. 4x+5x=8x is what type of an equation?
Y=IxI
In a quotient
The first set of components of an ordered pair
Conditional

10. How do you calculate a constant function in your calculator?
The single number y=
Postiive slope
Y= then enter the number then press graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

11. Draw or discuss a decreasing function
Odd
Cannot be drawn in quizlet
Odd
Horizontal left

12. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Horizontal left
F(x+h)-f(x)/h h cannot equal zero
Parabola

13. What are the calculator instructions for the cube root function?
Math 4 x - graph
Only one
1 -2 -3
Inconsistant

14. What is a constant function?
Negative slope
M
F(x^1)=f(x^2)
Y=x^2 - graph

15. What are the algebra of functions?
F(x+c) and f(x-c)
M
X=a
(f+g) - (f-g) - (fg) - (f/g) all of x

16. What is the range 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.
Postiive slope
Y=b
(-infinity - +infinity)

17. x=no real numbers is what type of an equation?
Horizontal right
Negative inverse
Inconsistant
Horizontal

18. What is the point slope formula and when do you use it?
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
The first set of components of an ordered pair
Yes because two x's or domains can point to one y

19. How many domains can you have pointing to one range?
2nd key - x^2 - graph
Y=x^2 - graph
As many as you like
F(x) = x

20. Draw or discuss an increasing function
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
Y

21. What does the average rate of change formula solve?
Even
Only one
The slope of a line containing two points
X2-x1 because the demonaitor of a quotient can never equal zero

22. What does the absolute value function look like?
A V
Y=x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
X2-x1 because the demonaitor of a quotient can never equal zero

23. What type of function would you use to calculate the most advantageous cell phone plan?
Approach neg toward x through zero and above positive close to x
Equation of a line
Same
Piecewise

24. What is the formula for slope?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]you[0 - +infinity)
The opposite coordinates

25. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
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
2nd key - x^2 - graph

26. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X=a
45 degree angle

27. What is the slope intercept formula? Define all the variables.
In a quotient
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle

28. What is the vertex?
Identity
[0 -+infinity)
The minimum or maximum points
Neither

29. What is the domain of a square root function?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola - up one and right three
[0 -+infinity)
(-infinity - +infinity)

30. Of the seven of algebra's common graph's how many are odd?
Set the x and y to zero and get the intercepts and then plot the points
F(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
Zero slope

31. What is the domain for the standard cubic function?
Identity
F(x+c) and f(x-c)
(-infinity - +infinity)
As many as you like

32. What is the range of an identity function?
Negative inverse
(-infinity - +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
The slope of a line containing two points

33. x=no real numbers is what type of an equation?
Yes - all the domains points to one range
F(x)=3 square root x
Inconsistant
X is the hours to repair the boat. $1603-532=anwser/63 = x

34. A flat line underlining one vertical line is a symbol for...
Line ascending to the right gradually
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
Perpendicular line
F(x^1)=f(x^2)

35. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x - identity function
Square Root

36. Draw or discuss a constant function
(-infinity - +infinity)
F(x)=suare root of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet

37. How do you graph Ax+By+C=0?
(-infinity - +infinity)
Y
Set the x and y to zero and get the intercepts and then plot the points
The slope of a line containing two points

38. What is the horizontal line formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=b
20+.05x=5+.10x x=minutes
F(x+c) and f(x-c)

39. What is the range of the constant function?
The single number y=
Cannot be drawn in quizlet
M
[0 -+infinity)

40. What is the horizontal line formula?
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
(-infinity - +infinity)
Y=b
(-infinity - +infinity)

41. Of the seven of algebra's common graph's how many are odd?
M
Equation of a line
F(x) = x
Three odd - cube root - identity - standard cubic

42. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=x - identity function
Yes - all the domains points to one range
4 -6 -9
Piecewise

43. What is the formula for an identity function?
F(x) = x
(-infinity - +infinity)
X=a
Y=b

44. What type of slope do vertical lines have?
F(x)=suare root of x
Cannot be drawn in quizlet
Undefined
Odd

45. Is the square root function odd - even or neither?
Neither
Horizontal left
0<c<1 - horizontal stretching
Y=IxI

46. What is the standard quadratic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Horizontal left
X^2
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

47. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Negative slope
A V
F(x^1)=f(x^2)
20+.05x=5+.10x x=minutes

48. In an identity function if f(10)=x than What is y?
Y=10
Square Root
Negative inverse
Negative inverse

49. 4x+5x=8x is what type of an equation?
Approach neg toward x through zero and above positive close to x
Even
The second set of components of an ordered pair
Conditional

50. What is the formula for the standard cubic function?
F(x+c) and f(x-c)
(-infinity - +infinity)
F(x)=x^3
Horizontal