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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 the domain and range of a constant function?
Y= then enter the number then press graph
F(x)=IxI
Perpendicular line
(-infinity - +infinity)

2. What is another way to write f(x)=x - what type of function is this?
Identity
Horizontal
Y=x - identity function
F(x)=3 square root x

3. Is the standard cubic function odd - even or neither?
Horizontal
Even
Odd
F(x)=x^3

4. What is slope?
Y= then enter the number then press graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

5. What are the calculator instructions for absolute value?
F(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
When does a graph not define y as a function of x?
(-infinity - +infinity)

6. y=f(cx) What does this formula represent?
(-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.
A V
0<c<1 - horizontal stretching

7. What does linear equation mean?
Equation of a line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As many as you like
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.

8. What is the domain for a standard quadratic function?
Y=x^2 - graph
X^2
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. What are the calculator instructions for a standard quadratic equation?
Y=10
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3
Y=x^2 - graph

10. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
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.
Even
X math 3 graph

11. 4x+5x=8x is what type of an equation?
Conditional
Negative slope
Perpendicular line
Three odd - cube root - identity - standard cubic

12. What is the formula for an absolute value function?
F(x)=IxI
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
When does a graph not define y as a function of x?
Piecewise

13. What is the range of the constant function?
Y=IxI
The single number y=
Y=IxI
Line ascending to the right gradually

14. What does the graph of the cube root function look like on the graph?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes because two x's or domains can point to one y
Perpendicular line
Approach neg toward x through zero and above positive close to x

15. What is the domain of a square root function?
F(x)=3 square root x
Parabola - up one and right three
The opposite coordinates
[0 -+infinity)

16. What is the vertical line test?
No because you cannot have one domain pointing at two y's or ranges
The minimum or maximum points
Piecewise
When does a graph not define y as a function of x?

17. {(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
Parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

18. In an identity function if f(10)=x than What is y?
No because you cannot have one domain pointing at two y's or ranges
A V
Y=10
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

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

20. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
As equations
Absolute Value - Constant and Standard Quadratic
Square Root

21. What is the range for an absolute value function?
Y
(-infinity - +infinity)
Identity
(-infinity - 0]you[0 - +infinity)

22. What is the formula in both horizontal stretching and horizontal shrinking?
A line passing through two distinct points
0<c<1 - horizontal stretching
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

23. What is the domain for an absolute value function?
Even
Odd
C>1 - horizontal shrinking
(-infinity - +infinity)

24. What does the standard cubic function look like on a graph?
4 -6 -9
X2-x1 because the demonaitor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
Horizontal right

25. In an identity function if f(10)=x than What is y?
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
(-infinity - +infinity)
Y=10
F(x)=suare root of x

26. What are the calculator instructions for a square root function?
F(x) = x
A V
Piecewise
2nd key - x^2 - graph

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(-infinity - +infinity)
Y=b
Neither
4 -6 -9

28. Which direction does f(x)=+c move in standard absolute value formula?
Up
Neither
Change in y / change in x = rise / run = y2-y1 / x2-x1
X math 3 graph

29. What is a relation?
Any set of ordered pairs
Yes - all the domains points to one range
F(x)=IxI
No because you cannot have one domain pointing at two y's or ranges

30. Of the seven of algebra's common graph's how many are neither?
The single number y=
Odd
Square Root
(-infinity - +infinity)

31. What is the domain and range of a constant function?
A line passing through two distinct points
(-infinity - +infinity)
X math 3 graph
Only one

32. What type of line is a constant function?
No because you cannot have one domain pointing at two y's or ranges
Horizontal
Conditional
Postiive slope

33. Is a constant function even - odd or neither?
Zero slope
Even
A V
F(x2)-f(x1) / x2-x1

34. Which direction does f(x)=+c move in standard absolute value formula?
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Up
A V

35. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the 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
Approach neg toward x through zero and above positive close to x
1 -2 -3
X=a

36. How do you graph Ax+By+C=0?
Cannot be drawn in quizlet
Same
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points

37. y=f(cx) - What does this formula represent?
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
Y=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x

38. What is the domain of the cube root function?
(-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
The secant line
The opposite coordinates

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

40. What is the domain of a square root function?
[0 -+infinity)
F(x2)-f(x1) / x2-x1
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Square Root

41. Of the seven of algebra's common graph's how many are neither?
Even
[0 -+infinity)
Square Root
Odd

42. What is the slope intercept formula? Define all the variables.
Parraelle line
A line passing through two distinct points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Only one

43. What is a range?
The second set of components of an ordered pair
(-infinity - +infinity)
Perpendicular line
Identity

44. Which direction does f(x-c) move
Horizontal
(-infinity - +infinity)
4 -6 -9
Horizontal right

45. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Odd
2nd key - x^2 - graph
Y= then enter the number then press graph

46. Which direction does f(x+c) move
F(x+c) and f(x-c)
F(x^1)=f(x^2)
Math 4 x - graph
Horizontal left

47. Draw or discuss a constant function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
45 degree angle

48. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Parabola - up one and right three
X=a
The secant line
X^2

49. What is the vertical line test?
Down
45 degree angle
X math 3 graph
When does a graph not define y as a function of x?

50. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
F(x) = x
Conditional
Conditional