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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 would this formula move f(x)=(x+1)^2-3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal left
Parabola - up one and right three

2. What does the standard cubic function look like on a graph?
(-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
F(x)=3 square root x
Mirror image neg quadrant to that of the positive quandrant

3. In an identity function if f(10)=x than What is y?
F(x)=+c and f(x)-c
Because the demintor of a quotient can never equal zero
Y=10
The single number y=

4. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Postiive slope
Any set of ordered pairs
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
As many as you like

5. What type of slope do you have when a line rises from left to right and m>0?
Horizontal
Postiive slope
2nd catalog (zero key -) abs(x) - graph
Math 4 x - graph

6. What is the letter used to represent slope?
(-infinity - 0]you[0 - +infinity)
Only one
M
The second set of components of an ordered pair

7. f(x) = x^2+3x+5 - what type of formula is this?
When does a graph not define y as a function of x?
(-infinity - +infinity)
Only one
Function notation

8. What are the calculator instructions for a square root function?
Y=b
The slope of a line containing two points
2nd key - x^2 - graph
The single number y=

9. What is the formula for the cube root function?
F(x)=3 square root x
X = the original sale price and the formula is x - .40x =$276
Because the demintor of a quotient can never equal zero
Down

10. Which direction does f(x+c) move
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal left
Line ascending to the right gradually
2nd catalog (zero key -) abs(x) - graph

11. What is the slope of a perpendicular line?
Up
Negative inverse
(-infinity - +infinity)
Conditional

12. What is the domain for the standard cubic function?
(-infinity - +infinity)
Yes - all the domains points to one range
Identity
20+.05x=5+.10x x=minutes

13. What is the range of an identity function?
Set the x and y to zero and get the intercepts and then plot the points
Y=b
(-infinity - +infinity)
Horizontal right

14. What is the slope of a perpendicular line?
Same
The single number y=
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Negative inverse

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X math 3 graph
Math 4 x - graph
4 -6 -9
No because you cannot have one domain pointing at two y's or ranges

16. Why can h not equal zero in the difference of a quotient function formula?
Horizontal right
(-infinity - +infinity)
C>1 - horizontal shrinking
Because the demintor of a quotient can never equal zero

17. What is a constant function?
F(x^1)=f(x^2)
(-infinity - +infinity)
(-infinity - +infinity)
Line ascending to the right gradually

18. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
Parabola
Y=10

19. Draw or discuss a decreasing function
Cannot be drawn in quizlet
F of g and g of f
Down
Identity

20. What type of slope do horizontal lines have?
Same
X math 3 graph
Math 4 x - graph
In a quotient

21. What is the range for an absolute value function?
(-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
As equations
Y=x - identity function

22. What type of slope do you have when the line is horizontal and m=0?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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.
Zero slope

23. standard absolute value - horizontal shift formulas for left and right
Inconsistant
F(x+c) and f(x-c)
Any set of ordered pairs
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

24. What is the formula for an identity function?
(-infinity - +infinity)
Undefined slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x) = x

25. What points do you use to plot the inverse on a 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
The opposite coordinates
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.
Absolute Value - Constant and Standard Quadratic

26. What type of line is an identity function?
X = the original sale price and the formula is x - .40x =$276
F(x^1)=f(x^2)
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. 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
X^2
Line ascending to the right gradually
Postiive slope

28. What is the formula for the standard cubic function?
Y=IxI
[0 -+infinity)
Even
F(x)=x^3

29. How many domains can you have pointing to one range?
When does a graph not define y as a function of x?
As many as you like
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

30. What is the range of a square root function?
[0 -+infinity)
Neither
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant

31. What does the average rate of change formula solve?
Undefined
Odd
45 degree angle
The slope of a line containing two points

32. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

33. What type of slope do vertical lines have?
Horizontal right
Undefined
Cannot be drawn in quizlet
Odd

34. What is the standard quadratic function?
Odd
Yes because two x's or domains can point to one y
X^2
Piecewise

35. x= a real number is what type of equation?
A line passing through two distinct points
Conditional
F of g and g of f
Yes because two x's or domains can point to one y

36. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
F(x)=3 square root x
F(x+c) and f(x-c)

37. Draw or discuss an increasing function
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
In a quotient

38. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Conditional
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

39. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Square Root
Horizontal right

40. Is a standard quadratic function even - odd or neither?
Even
Absolute Value - Constant and Standard Quadratic
Parabola
Mirror image neg quadrant to that of the positive quandrant

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

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42. What are the calculator instructions for the standard cubic function?
Horizontal
X math 3 graph
Y=x - identity function
Even

43. Of the seven of algebra's common graph's how many are even?
Square Root
M
The opposite coordinates
Absolute Value - Constant and Standard Quadratic

44. y=f(cx) What does this formula represent?
F(x)=IxI
0<c<1 - horizontal stretching
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.
Down

45. 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
Zero slope
Even
Any set of ordered pairs

46. What type of slope do you have when a line falls left to right and m<0?
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.
Function notation
Negative slope
Y=10

47. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
F(x)=3 square root x
X^2
Identity

48. What is the range for an absolute value function?
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]you[0 - +infinity)
Y=x - identity function
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

49. What is an identity function?
Postiive slope
Any set of ordered pairs
45 degree angle
M

50. What equation does every line have? Discuss the variables.
Negative inverse
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.
A line passing through two distinct points
Line ascending to the right gradually