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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 a constant function?
Horizontal
F(x)=suare root of x
F(x^1)=f(x^2)
Inconsitent

2. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X^2
4 -6 -9
Cannot be drawn in quizlet

3. What can never equal zero in the slope formula and why?
F(x)=+c and f(x)-c
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=IxI

4. What is a relation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Equation of a line
Any set of ordered pairs

5. Which direction does f(x)=+c move in standard absolute value formula?
F(x^1)=f(x^2)
F(x)=x^3
Cannot be drawn in quizlet
Up

6. What is the range of the constant function?
Y=10
Negative slope
The single number y=
(-infinity - +infinity)

7. Of the seven of algebra's common graph's how many are odd?
F of g and g of f
Three odd - cube root - identity - standard cubic
A line passing through two distinct points
(-infinity - +infinity)

8. What type of line is an identity function?
Undefined
Inconsistant
45 degree angle
4 -6 -9

9. standard absolute value - vertical shift formulas for positve and negative
Any set of ordered pairs
Horizontal right
F(x)=+c and f(x)-c
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

10. How do you calculate a constant function in your calculator?
Inconsitent
Math 4 x - graph
Y= then enter the number then press graph
X2-x1 because the demonaitor of a quotient can never equal zero

11. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Inconsitent
Zero slope
Perpendicular line

12. 4(x-7)=4x+28 is what type of an equation?
Undefined slope
Inconsitent
M
4 -6 -9

13. x=no real numbers is what type of an equation?
Neither
Undefined
Inconsistant
Y= then enter the number then press graph

14. What are the calculator instructions for a standard quadratic equation?
Yes - all the domains points to one range
F(x) = x
Y=x^2 - graph
F(x)=+c and f(x)-c

15. What is the domain for a standard quadratic function?
45 degree angle
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 - +infinity)
Equation of a line

16. What is the formula for an identity function?
F(x+c) and f(x-c)
Negative inverse
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x) = x

17. Draw or discuss a constant function
Cannot be drawn in quizlet
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.
Yes - all the domains points to one range
F of g and g of f

18. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Horizontal right
F(x)=IxI
45 degree angle

19. In an identity function if f(10)=x than What is y?
Y=10
F(x+c) and f(x-c)
(-infinity - +infinity)
Up

20. What is the formula for to calculate the difference of a quotient function?
The second set of components of an ordered pair
F(x+h)-f(x)/h h cannot equal zero
M
Yes - all the domains points to one range

21. What can never equal zero in the slope formula and why?
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph

22. What is the letter used to represent slope?
Cannot be drawn in quizlet
M
Horizontal left
Identity

23. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Odd
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Y=x - identity function
Math 4 x - graph
The secant line

25. What is the average rate of change formula?
The slope of a line containing two points
4 -6 -9
F(x2)-f(x1) / x2-x1
F(x+h)-f(x)/h h cannot equal zero

26. How would this formula move f(x)=(x+1)^2-3
X math 3 graph
Parabola - up one and right three
Cannot be drawn in quizlet
X^2

27. 4x+5x=8x is what type of an equation?
Conditional
1 -2 -3
Up
X^2

28. 4x+5x=8x is what type of an equation?
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.
Conditional
In a quotient
Even

29. What shape is the standard quadratic function?
Equation of a line
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
X2-x1 because the demonaitor of a quotient can never equal zero
Parabola

30. What type of line is a constant function?
Inconsistant
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
Horizontal
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

31. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
2nd key - x^2 - graph
0<c<1 - horizontal stretching
F(x) = x

32. 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
Zero slope
45 degree angle
The second set of components of an ordered pair

33. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Y

34. What is the formula for the standard cubic function?
Parraelle line
F(x)=x^3
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

35. What is the range for the standard cubic function?
2nd key - x^2 - graph
Odd
Yes - all the domains points to one range
(-infinity - +infinity)

36. What is the range for a standard quadratic function?
F(x)=suare root of x
Up
Y
(-infinity - 0]you[0 - +infinity)

37. What are the calculator instructions for a square root function?
Y=b
2nd catalog (zero key -) abs(x) - graph
Y= then enter the number then press graph
2nd key - x^2 - graph

38. What is the range of a square root function?
Zero slope
Identity
Identity
[0 -+infinity)

39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Parabola - up one and right three
(-infinity - +infinity)
Even
20+.05x=5+.10x x=minutes

40. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Square Root
Perpendicular line
Inconsitent

41. What are two examples of composit functions?
F of g and g of f
(-infinity - +infinity)
C>1 - horizontal shrinking
(-infinity - +infinity)

42. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Because the demintor of a quotient can never equal zero
Odd
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

43. What points do you use to plot the inverse on a graph?
The opposite coordinates
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(x)=+c and f(x)-c
Cannot be drawn in quizlet

44. Is an absolute value function even - odd or neither?
F(x)=suare root of x
Three odd - cube root - identity - standard cubic
Even
No because you cannot have one domain pointing at two y's or ranges

45. A flat line underlining one vertical line is a symbol for...
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
Identity
A line passing through two distinct points
Perpendicular line

46. Is an absolute value function even - odd or neither?
Odd
Even
Parabola - up one and right three
The single number y=

47. What are two examples of composit functions?
F of g and g of f
Up
A line passing through two distinct points
Y= then enter the number then press graph

48. What type of slope do vertical lines have?
(-infinity - +infinity)
Y=b
Undefined
(-infinity - 0]you[0 - +infinity)

49. What is the point slope formula and when do you use it?
Identity
The second set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y

50. What does the standard cubic function look like on a graph?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
The slope of a line containing two points