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College Algebra Test

Subjects : math, algebra

Instructions:

Answer 50 questions in 15 minutes. 2 minutes extra for reading the instructions.
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 formula for the square root function?
F(x)=suare root of x
Odd
X^2
Horizontal left

2. What is the range of the constant function?
Only one
The single number y=
Yes because two x's or domains can point to one y
(-infinity - 0]you[0 - +infinity)

3. Draw or discuss a constant function
Cannot be drawn in quizlet
Identity
1 -2 -3
2nd key - x^2 - graph

4. Is the standard cubic function odd - even or neither?
The opposite coordinates
Yes - all the domains points to one range
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
Odd

5. Is the square root function odd - even or neither?
Parabola - up one and right three
Neither
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function

6. What type of function would you use to calculate the most advantageous cell phone plan?
Cannot be drawn in quizlet
Math 4 x - graph
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

7. How are functions normally written?
Because the demintor of a quotient can never equal zero
As equations
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

8. Is an absolute value function even - odd or neither?
Three odd - cube root - identity - standard cubic
45 degree angle
Only one
Even

9. y=f(cx) What does this formula represent?
Y=IxI
Postiive slope
F(x^1)=f(x^2)
0<c<1 - horizontal stretching

10. What is slope?
A line passing through two distinct points
The first set of components of an ordered pair
Yes because two x's or domains can point to one y
Y=IxI

11. How do you calculate a constant function in your calculator?
Because the demintor of a quotient can never equal zero
Y= then enter the number then press graph
Zero slope
Horizontal

12. What are the calculator instructions for absolute value?
45 degree angle
2nd key - x^2 - graph
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

13. How would this formula move f(x)=(x+1)^2-3
Up
Parabola - up one and right three
Y=10
F(x+h)-f(x)/h h cannot equal zero

14. What are the steps for solving a word problem?
(-infinity - +infinity)
[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
Y=IxI

15. Of the seven of algebra's common graph's how many are neither?
Y= then enter the number then press graph
Square Root
Function notation
2nd catalog (zero key -) abs(x) - graph

16. What are the four steps for finding the inverse of a function?
X^2
Y=b
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Math 4 x - graph

17. What type of line is a constant function?
[0 -+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.
Postiive slope
Horizontal

18. What is the range of the constant function?
Line ascending to the right gradually
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
Identity
The single number y=

19. What is the letter used to represent slope?
Negative inverse
M
When does a graph not define y as a function of x?
X=a

20. When is the only time (-infinity - +infinity) is not the domain?
Mirror image neg quadrant to that of the positive quandrant
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
Parraelle line

21. What does linear equation mean?
Horizontal
F(x)=IxI
(-infinity - +infinity)
Equation of a line

22. Is the standard cubic function odd - even or neither?
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.
Odd
A line passing through two distinct points
Equation of a line

23. What can never equal zero in the slope formula and why?
Negative inverse
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

24. What is the domain for an absolute value function?
Zero slope
Only one
(-infinity - +infinity)
F(x+c) and f(x-c)

25. 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
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph
Down

26. What shape is the standard quadratic function?
Parabola
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
Perpendicular line
2nd catalog (zero key -) abs(x) - graph

27. What is a constant function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
F(x^1)=f(x^2)

28. What are two examples of composit functions?
Identity
Y= then enter the number then press graph
F of g and g of f
As many as you like

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

30. What is the letter used to represent slope?
M
Parraelle line
(-infinity - +infinity)
45 degree angle

31. x=no real numbers is what type of an equation?
F(x)=x^3
In a quotient
Inconsistant
(-infinity - +infinity)

32. What is the standard quadratic function?
X^2
Absolute Value - Constant and Standard Quadratic
F(x+c) and f(x-c)
The secant line

33. Draw or discuss an increasing function
Perpendicular line
Cannot be drawn in quizlet
Only one
Function notation

34. 4(x-7)=4x+28 is what type of an equation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent
Undefined slope
2nd catalog (zero key -) abs(x) - graph

35. x= a real number is what type of equation?
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)
Conditional
[0 -+infinity)

36. In an identity function if f(10)=x than What is y?
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
Y=10
Cannot be drawn in quizlet

37. What does the square root function look like on a graph?
Line ascending to the right gradually
Inconsistant
(-infinity - +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

38. What is the domain for the standard cubic function?
Down
Y
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)

39. What is the formula for an absolute value function?
(-infinity - +infinity)
Odd
F(x)=IxI
(-infinity - 0]you[0 - +infinity)

40. What does the average rate of change formula solve?
F(x)=suare root of x
The slope of a line containing two points
X=a
When does a graph not define y as a function of x?

41. How many domains can you have pointing to one range?
Same
Negative slope
As many as you like
M

42. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
The second set of components of an ordered pair
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line
[0 -+infinity)

43. standard absolute value - vertical shift formulas for positve and negative
As many as you like
F(x)=+c and f(x)-c
Up
Square Root

44. What can we substitute for f(x)?
F(x)=3 square root x
Horizontal left
Even
Y

45. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - 0]you[0 - +infinity)
Yes - all the domains points to one range
The second set of components of an ordered pair
Line ascending to the right gradually

46. What are the calculator instructions for the standard cubic function?
The opposite coordinates
X math 3 graph
Identity
20+.05x=5+.10x x=minutes

47. What is the domain and range of a constant function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

48. What type of line is a constant function?
X = the original sale price and the formula is x - .40x =$276
When does a graph not define y as a function of x?
As many as you like
Horizontal

49. What is the formula for the cube root function?
20+.05x=5+.10x x=minutes
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)=3 square root x
Y=b

50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Same
Function notation
Horizontal right
Yes - all the domains points to one range

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College Algebra Test

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