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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 function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=x^2 - graph
The single number y=

2. What are two examples of composit functions?
F of g and g of f
In a quotient
The opposite coordinates
(-infinity - +infinity)

3. What is the range of the cube root function?
(-infinity - +infinity)
A line passing through two distinct points
Conditional
Parabola - up one and right three

4. What is the formula for the cube root function?
(-infinity - 0]you[0 - +infinity)
Math 4 x - graph
4 -6 -9
F(x)=3 square root x

5. What is a function?
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
When does a graph not define y as a function of x?
Horizontal right

6. Why can h not equal zero in the difference of a quotient function formula?
Approach neg toward x through zero and above positive close to x
Equation of a line
Because the demintor of a quotient can never equal zero
The first set of components of an ordered pair

7. Draw or discuss an increasing function
Y=IxI
Cannot be drawn in quizlet
F of g and g of f
4 -6 -9

8. What is a constant function?
M
As equations
F(x^1)=f(x^2)
Horizontal left

9. What does linear equation mean?
Equation of a line
Y=x - identity function
A V
The single number y=

10. What is the range for an absolute value function?
Y= then enter the number then press graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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
(-infinity - 0]you[0 - +infinity)

11. What are the calculator instructions for a standard quadratic equation?
The single number y=
Y=x^2 - graph
X=a
As many as you like

12. x=all real numbers is what type of an equation?
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function
Even

13. What is the vertical line formula?
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
X=a
As equations

14. In an identity function if f(10)=x than What is y?
Y=10
The first set of components of an ordered pair
0<c<1 - horizontal stretching
F(x+c) and f(x-c)

15. How many domains can you have pointing to one range?
The secant line
As many as you like
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)

16. What is the formula for the standard cubic function?
Y=10
F(x)=x^3
F(x+c) and f(x-c)
[0 -+infinity)

17. What is the range for the standard cubic function?
(-infinity - +infinity)
Horizontal left
Odd
Approach neg toward x through zero and above positive close to x

18. In an identity function if f(10)=x than What is y?
A line passing through two distinct points
As many as you like
Y=10
Identity

19. standard absolute value - vertical shift formulas for positve and negative
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
F(x)=+c and f(x)-c
Y
M

20. What is the domain for the standard cubic function?
As many as you like
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
45 degree angle

21. What is the formula for the cube root function?
F(x)=3 square root x
No because you cannot have one domain pointing at two y's or ranges
Same
X math 3 graph

22. What is the domain for a standard quadratic function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation
(-infinity - +infinity)

23. What type of line is an identity function?
(-infinity - +infinity)
Y
Same
45 degree angle

24. What is the standard quadratic function?
Y=IxI
Function notation
X^2
Horizontal right

25. What is the slope of a perpendicular line?
Negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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
X=a

26. Why can h not equal zero in the difference of a quotient function formula?
A V
Inconsistant
Up
Because the demintor of a quotient can never equal zero

27. What is the slope of a perpendicular line?
Negative inverse
The minimum or maximum points
As many as you like
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.

28. What are the calculator instructions for the cube root function?
Math 4 x - graph
Undefined slope
F(x^1)=f(x^2)
Y=IxI

29. What equation does every line have? Discuss the variables.
Any set of ordered pairs
Odd
(-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.

30. y=f(cx) What does this formula represent?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
0<c<1 - horizontal stretching
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

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

32. What does the square root function look like on a graph?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Line ascending to the right gradually

33. What is the domain for an absolute value function?
Parraelle line
Horizontal
(-infinity - +infinity)
Y=IxI

34. What is the domain of a square root function?
[0 -+infinity)
As equations
The opposite coordinates
Y=x - identity function

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?
Horizontal right
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
Inconsistant
(-infinity - +infinity)

36. What direction does f(x)-c move in standard absolute value formula?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes - all the domains points to one range
The second set of components of an ordered pair
Down

37. What is the formula for the square root function?
Identity
As many as you like
Because the demintor of a quotient can never equal zero
F(x)=suare root of x

38. What is the vertical line test?
When does a graph not define y as a function of x?
Odd
45 degree angle
F(x)=3 square root x

39. What does the absolute value function look like?
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
Absolute Value - Constant and Standard Quadratic

40. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

41. What type of slope do you have when the line is horizontal and m=0?
Yes - all the domains points to one range
F(x)=IxI
Y=b
Zero slope

42. What is the range for the standard cubic function?
Horizontal left
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph

43. What is the formula in both horizontal stretching and horizontal shrinking?
F(x)=x^3
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Only one
Even

44. Is an identity function even - odd or neither?
Odd
F(x)=3 square root x
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking

45. What direction does f(x)-c move in standard absolute value formula?
X is the hours to repair the boat. $1603-532=anwser/63 = x
1 -2 -3
Down
Negative slope

46. What is the range for an absolute value function?
X math 3 graph
(-infinity - +infinity)
Y=10
(-infinity - 0]you[0 - +infinity)

47. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X = the original sale price and the formula is x - .40x =$276
The opposite coordinates

48. x= a real number is what type of equation?
As many as you like
F(x+c) and f(x-c)
Conditional
Perpendicular line

49. What is the formula for the square root function?
In a quotient
Y=10
F(x)=suare root of x
A line passing through two distinct points

50. What type of slope do horizontal lines have?
Same
F(x)=+c and f(x)-c
Line ascending to the right gradually
X^2