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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 type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x+c) and f(x-c)
(-infinity - +infinity)

2. Draw or discuss a constant function
As many as you like
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

3. What can we substitute for f(x)?
Y
Identity
Yes because two x's or domains can point to one y
Zero slope

4. Two vertical lines side by side are a symbol for what
The opposite coordinates
Parraelle line
Y=x^2 - graph
The minimum or maximum points

5. Is an absolute value function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph
Odd
Even

6. What is the domain for a standard quadratic function?
Line ascending to the right gradually
(-infinity - +infinity)
Y=IxI
X=a

7. Which direction does f(x-c) move
C>1 - horizontal shrinking
Identity
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal right

8. 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.
F(x)=suare root of x
The secant line
Y=IxI

9. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Inconsistant
Y=10
(-infinity - +infinity)

10. How do you calculate a constant function in your calculator?
Perpendicular line
Y=10
Identity
Y= then enter the number then press graph

11. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +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
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points

12. What does the standard cubic function look like on a graph?
Horizontal left
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3

13. Of the seven of algebra's common graph's how many are odd?
Undefined
C>1 - horizontal shrinking
Equation of a line
Three odd - cube root - identity - standard cubic

14. What does the absolute value function look like?
C>1 - horizontal shrinking
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
A V

15. What is a domain?
The first set of components of an ordered pair
As equations
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

16. What is the range of the cube root function?
(-infinity - +infinity)
Y=IxI
Horizontal right
45 degree angle

17. What is another way of writing the absolute value function?
C>1 - horizontal shrinking
(-infinity - +infinity)
Y=IxI
(-infinity - 0]you[0 - +infinity)

18. When is the only time (-infinity - +infinity) is not the domain?
Square Root
In a quotient
F(x)=3 square root x
X math 3 graph

19. What is the formula for the standard cubic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Conditional
F(x)=x^3

20. Two vertical lines side by side are a symbol for what
Parraelle line
F(x+c) and f(x-c)
[0 -+infinity)
(-infinity - +infinity)

21. What is the formula for the cube root function?
Absolute Value - Constant and Standard Quadratic
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=3 square root x
(-infinity - +infinity)

22. A flat line underlining one vertical line is a symbol for...
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X=a
Y=b
Perpendicular line

23. What is the domain for an absolute value function?
Undefined
As many as you like
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)

24. Is a standard quadratic function even - odd or neither?
X = the original sale price and the formula is x - .40x =$276
Even
X^2
F(x)=IxI

25. What points do you use to plot the inverse on a graph?
The opposite coordinates
Same
F(x)=x^3
Negative inverse

26. How do you graph Ax+By+C=0?
1 -2 -3
Negative slope
Zero slope
Set the x and y to zero and get the intercepts and then plot the points

27. What type of slope do you have when a line falls left to right and m<0?
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points
Negative slope

28. Is the square root function odd - even or neither?
Even
(-infinity - +infinity)
Neither
Horizontal

29. What is the vertical line test?
The second set of components of an ordered pair
Even
(-infinity - +infinity)
When does a graph not define y as a function of x?

30. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
[0 -+infinity)

31. Is a standard quadratic function even - odd or neither?
(-infinity - 0]you[0 - +infinity)
Y=IxI
Inconsitent
Even

32. Which direction does f(x+c) move
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Three odd - cube root - identity - standard cubic
Horizontal left
The first set of components of an ordered pair

33. What type of slope do vertical lines have?
A line passing through two distinct points
1 -2 -3
Undefined
Even

34. What is the domain of the cube root function?
F(x+c) and f(x-c)
(-infinity - +infinity)
[0 -+infinity)
X math 3 graph

35. What is the formula for the square root function?
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)=suare root of x
When does a graph not define y as a function of x?
Zero slope

36. What is another way to write f(x)=x - what type of function is this?
Y=10
(-infinity - +infinity)
Only one
Y=x - identity function

37. Is a constant function even - odd or neither?
F(x)=+c and f(x)-c
45 degree angle
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

38. What is the formula for the square root function?
(-infinity - +infinity)
(-infinity - +infinity)
F(x)=suare root of x
Perpendicular line

39. What is a relation?
Yes because two x's or domains can point to one y
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

40. What are the calculator instructions for a standard quadratic equation?
Parabola
Math 4 x - graph
Y=x^2 - graph
F(x)=+c and f(x)-c

41. 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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276

42. What does the square root function look like on a graph?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
Horizontal right
Line ascending to the right gradually

43. 4x+5x=8x is what type of an equation?
Conditional
Cannot be drawn in quizlet
1 -2 -3
Identity

44. What type of slope do vertical lines have?
Undefined slope
As equations
Up
Undefined

45. What is the letter used to represent slope?
The secant line
M
The first set of components of an ordered pair
Conditional

46. What can never equal zero in the slope formula and why?
Parabola - up one and right three
Horizontal
As many as you like
X2-x1 because the demonaitor of a quotient can never equal zero

47. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Yes because two x's or domains can point to one 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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Because the demintor of a quotient can never equal zero

48. What is the point slope formula and when do you use it?
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Horizontal
(-infinity - +infinity)

49. 4(x-7)=4x-28 is what type of an equation?
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
Function notation
F(x+h)-f(x)/h h cannot equal zero
Identity

50. What is the formula for slope?
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 - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)