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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. Of the seven of algebra's common graph's how many are odd?
The slope of a line containing two points
Parabola
Three odd - cube root - identity - standard cubic
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

2. What does the absolute value function look like?
Even
A V
45 degree angle
(-infinity - +infinity)

3. standard absolute value - horizontal shift formulas for left and right
The single number y=
F(x+c) and f(x-c)
1 -2 -3
F(x^1)=f(x^2)

4. What is the formula for the standard cubic function?
(-infinity - +infinity)
F(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

5. Draw or discuss an increasing function
Cannot be drawn in quizlet
Line ascending to the right gradually
Identity
Identity

6. What is a constant function?
The single number y=
F(x^1)=f(x^2)
[0 -+infinity)
Square Root

7. What are the algebra of functions?
Neither
The opposite coordinates
(f+g) - (f-g) - (fg) - (f/g) all of x
As equations

8. Two vertical lines side by side are a symbol for what
Undefined slope
Parraelle line
The second set of components of an ordered pair
Yes - all the domains points to one range

9. What are the four steps for finding the inverse of a function?
The first set of components of an ordered pair
F(x)=x^3
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

10. 4x+5x=8x is what type of an equation?
As equations
X^2
Conditional
Undefined slope

11. What are the calculator instructions for a square root function?
(-infinity - +infinity)
2nd key - x^2 - graph
Undefined slope
F(x)=+c and f(x)-c

12. Which direction does f(x-c) move
Horizontal right
20+.05x=5+.10x x=minutes
F(x+h)-f(x)/h h cannot equal zero
Odd

13. What is the range of the constant function?
Parabola - up one and right three
Conditional
The single number y=
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

14. What equation does every line have? Discuss the variables.
F(x+c) and f(x-c)
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.
(-infinity - +infinity)
The first set of components of an ordered pair

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

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

17. Is the square root function odd - even or neither?
Conditional
Neither
Zero slope
Perpendicular line

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

19. What equation does every line have? Discuss the variables.
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.
Square Root
F(x)=suare root of x
Down

20. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Horizontal right
The first set of components of an ordered pair
The opposite coordinates

21. What is the domain of an identity function?
[0 -+infinity)
When does a graph not define y as a function of x?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

22. standard absolute value - vertical shift formulas for positve and negative
F(x)=x^3
F(x)=+c and f(x)-c
Equation of a line
Perpendicular line

23. What is the range of a square root function?
45 degree angle
Y=10
[0 -+infinity)
Y=b

24. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Odd
(-infinity - 0]you[0 - +infinity)
The secant line

25. What is the formula for slope?
The secant line
Change in y / change in x = rise / run = y2-y1 / x2-x1
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.
The opposite coordinates

26. Which direction does f(x-c) move
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
C>1 - horizontal shrinking
Horizontal right
M

27. What is the domain for the standard cubic function?
(-infinity - +infinity)
Down
Perpendicular line
F(x+h)-f(x)/h h cannot equal zero

28. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
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.
Inconsistant
(-infinity - +infinity)

29. What are the calculator instructions for absolute value?
Y=10
F(x+h)-f(x)/h h cannot equal zero
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph

30. What is the formula for an absolute value function?
[0 -+infinity)
F(x)=IxI
Up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

31. What is the standard quadratic function?
X^2
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
X math 3 graph

32. What does linear equation mean?
A line passing through two distinct points
In a quotient
Equation of a line
1 -2 -3

33. Is a standard quadratic function even - odd or neither?
4 -6 -9
(-infinity - +infinity)
A V
Even

34. f(x) = x^2+3x+5 - what type of formula is this?
F(x+h)-f(x)/h h cannot equal zero
X = the original sale price and the formula is x - .40x =$276
Function notation
(-infinity - 0]you[0 - +infinity)

35. What is the formula for an identity function?
(-infinity - +infinity)
F(x) = x
(-infinity - +infinity)
1 -2 -3

36. What is a constant function?
Y=10
[0 -+infinity)
(-infinity - +infinity)
F(x^1)=f(x^2)

37. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
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
X^2

38. What is the vertical line formula?
Cannot be drawn in quizlet
Parabola - up one and right three
X=a
Down

39. What is the domain for an absolute value function?
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
F(x) = x
Equation of a line

40. What is a range?
Yes because two x's or domains can point to one y
Zero slope
[0 -+infinity)
The second set of components of an ordered pair

41. What is the slope of a perpendicular line?
Negative inverse
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
Horizontal right
As many as you like

42. What is the formula for the cube root function?
The secant line
A line passing through two distinct points
Absolute Value - Constant and Standard Quadratic
F(x)=3 square root x

43. What is the range of the constant function?
The single number y=
Even
As equations
Approach neg toward x through zero and above positive close to x

44. How many ranges can you have for each domain?
Identity
Only one
The minimum or maximum points
Cannot be drawn in quizlet

45. What are the calculator instructions for the standard cubic function?
X math 3 graph
Negative inverse
(-infinity - +infinity)
F(x)=suare root of x

46. What type of line is an identity function?
F(x)=+c and f(x)-c
Absolute Value - Constant and Standard Quadratic
45 degree angle
Square Root

47. What is the domain for a standard quadratic function?
Because the demintor of a quotient can never equal zero
Zero slope
(-infinity - +infinity)
Math 4 x - graph

48. What does linear equation mean?
Equation of a line
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet

49. Is an absolute value function even - odd or neither?
F(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
Y= then enter the number then press graph
Even

50. 4(x-7)=4x+28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent