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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 are the calculator instructions for the cube root function?
Yes - all the domains points to one range
Only one
Math 4 x - graph
Y=10

2. What does the square root function look like on a 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
Y=x^2 - graph
Conditional
Line ascending to the right gradually

3. What is the domain for an absolute value function?
Y=10
Horizontal left
(-infinity - +infinity)
1 -2 -3

4. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Neither
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.
F(x) = x

5. What is the formula for to calculate the difference of a quotient function?
Y=10
F(x+h)-f(x)/h h cannot equal zero
Odd
(-infinity - 0]you[0 - +infinity)

6. Is a standard quadratic function even - odd or neither?
Undefined
(-infinity - +infinity)
Horizontal
Even

7. What is the range of the constant function?
[0 -+infinity)
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
The single number y=

8. What is the domain for the standard cubic function?
The minimum or maximum points
(-infinity - +infinity)
Math 4 x - graph
Parabola - up one and right three

9. What is an identity function?
C>1 - horizontal shrinking
45 degree angle
F(x2)-f(x1) / x2-x1
Identity

10. Draw or discuss a decreasing function
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Perpendicular line

11. What is the range for a standard quadratic function?
X^2
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)

12. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Function notation
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
The opposite coordinates

13. 4x+5x=8x is what type of an equation?
Conditional
Because the demintor of a quotient can never equal zero
Parabola
45 degree angle

14. Is the standard cubic function odd - even or neither?
Odd
When does a graph not define y as a function of x?
The secant line
The secant line

15. x= a real number is what type of equation?
Undefined slope
F(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional

16. What are two examples of composit functions?
F(x^1)=f(x^2)
F of g and g of f
Piecewise
(-infinity - 0]you[0 - +infinity)

17. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Conditional
F(x)=suare root of x
2nd key - x^2 - graph

18. What is the domain for an absolute value function?
Parabola - up one and right three
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
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

19. 4x+5x=8x is what type of an equation?
45 degree angle
Any set of ordered pairs
Conditional
Horizontal left

20. What is the range of a square root function?
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
F(x)=IxI
Parraelle line

21. What is slope?
M
Odd
Y= then enter the number then press graph
A line passing through two distinct points

22. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Zero slope
C>1 - horizontal shrinking
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
In a quotient

23. What does the standard cubic function look like on a graph?
Parraelle line
Mirror image neg quadrant to that of the positive quandrant
Y=b
Because the demintor of a quotient can never equal zero

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

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25. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
Yes - all the domains points to one range
As equations
Odd

26. What is the domain of a square root function?
Postiive slope
The second set of components of an ordered pair
[0 -+infinity)
Identity

27. How many ranges can you have for each domain?
Postiive slope
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero
Only one

28. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
[0 -+infinity)

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

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30. How many domains can you have pointing to one range?
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
As many as you like
(-infinity - 0]you[0 - +infinity)

31. What type of line is an identity function?
Yes - all the domains points to one range
45 degree angle
Horizontal right
When does a graph not define y as a function of x?

32. A flat line underlining one vertical line is a symbol for...
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
Perpendicular line
As many as you like
The first set of components of an ordered pair

33. y=f(cx) What does this formula represent?
X2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3
0<c<1 - horizontal stretching
Y= then enter the number then press graph

34. What is the formula for an absolute value function?
F(x)=IxI
Negative slope
Because the demintor of a quotient can never equal zero
Inconsistant

35. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
F of g and g of f
As many as you like

36. Is an identity function even - odd or neither?
A line passing through two distinct points
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Any set of ordered pairs

37. What shape is the standard quadratic function?
Parabola
[0 -+infinity)
Down
F of g and g of f

38. What is the formula for the cube root function?
Conditional
Cannot be drawn in quizlet
4 -6 -9
F(x)=3 square root x

39. What is the domain of an identity function?
Y= then enter the number then press graph
Cannot be drawn in quizlet
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

40. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=x - identity function
Odd
4 -6 -9
(-infinity - +infinity)

41. What is the formula for an identity function?
F(x) = x
X=a
Undefined slope
F(x)=3 square root x

42. What does the graph of the cube root function look like on the graph?
Horizontal left
F(x+c) and f(x-c)
Parraelle line
Approach neg toward x through zero and above positive close to x

43. x=all real numbers is what type of an 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
Identity
F(x)=suare root of x
The secant line

44. What is another way to write f(x)=x - what type of function is this?
Line ascending to the right gradually
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
F(x^1)=f(x^2)
Y=x - identity function

45. f(x) = x^2+3x+5 - what type of formula is this?
Perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
Function notation
(-infinity - +infinity)

46. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Zero slope
X2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates

47. What does the average rate of change formula solve?
The slope of a line containing two points
The second set of components of an ordered pair
Equation of a line
Line ascending to the right gradually

48. When is the only time (-infinity - +infinity) is not the domain?
F of g and g of f
Y
In a quotient
F(x^1)=f(x^2)

49. What type of slope do you have when the line is horizontal and m=0?
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+h)-f(x)/h h cannot equal zero
Zero slope
The single number y=

50. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y=x - identity function
Y=x^2 - graph
Odd