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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 a standard quadratic equation?
Horizontal
Cannot be drawn in quizlet
Y=x^2 - graph
Odd

2. What are the calculator instructions for the cube root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=+c and f(x)-c
Math 4 x - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

3. What type of line is an identity function?
Odd
45 degree angle
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

4. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line
Conditional
F(x+h)-f(x)/h h cannot equal zero

5. x=no real numbers is what type of an equation?
Postiive slope
(-infinity - +infinity)
Inconsistant
X^2

6. Is a standard quadratic function even - odd or neither?
45 degree angle
F of g and g of f
F(x)=IxI
Even

7. What does the square root function look like on a graph?
Horizontal
The secant line
Line ascending to the right gradually
(-infinity - +infinity)

8. What type of line is a constant function?
A line passing through two distinct points
Horizontal
Odd
Because the demintor of a quotient can never equal zero

9. What does the absolute value function look like?
A V
Absolute Value - Constant and Standard Quadratic
M
X=a

10. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph
Even

11. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Three odd - cube root - identity - standard cubic
[0 -+infinity)
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 single number y=

12. What is the average rate of change formula?
Postiive slope
As equations
F(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x

13. What is the formula in both horizontal stretching and horizontal shrinking?
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=IxI
F(x)=3 square root x

14. 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
Y=x - identity function
No because you cannot have one domain pointing at two y's or ranges

15. x=all real numbers is what type of an equation?
Math 4 x - graph
0<c<1 - horizontal stretching
A V
Identity

16. What is the range for a standard quadratic 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(x2)-f(x1) / x2-x1
Identity
(-infinity - 0]you[0 - +infinity)

17. What is the formula for to calculate the difference of a quotient function?
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+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic
Odd

18. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
X^2
Conditional
4 -6 -9
(-infinity - +infinity)

19. x=all real numbers is what type of an equation?
Identity
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

20. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Cannot be drawn in quizlet
Even
X^2

21. What type of slope do you have when a line falls left to right and m<0?
Y=x - identity function
Identity
0<c<1 - horizontal stretching
Negative slope

22. What does the absolute value function look like?
Inconsitent
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)

23. What is the domain of a square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
Only one
F(x)=3 square root x

24. 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
A V
No because you cannot have one domain pointing at two y's or ranges
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

25. What is another way to write f(x)=x - what type of function is this?
Yes because two x's or domains can point to one y
Y= then enter the number then press graph
Y=x - identity function
Even

26. What does linear equation mean?
Odd
Y=x - identity function
Equation of a line
Perpendicular line

27. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Y= then enter the number then press graph
Horizontal left
A V

28. What is the formula in both horizontal stretching and horizontal shrinking?
Parraelle line
45 degree angle
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

29. What direction does f(x)-c move in standard absolute value formula?
Equation of a line
Down
Odd
Parabola - up one and right three

30. What are two examples of composit functions?
F(x)=suare root of x
X is the hours to repair the boat. $1603-532=anwser/63 = x
The single number y=
F of g and g of f

31. What is the range of a square root function?
Undefined
(-infinity - +infinity)
[0 -+infinity)
Inconsistant

32. What is the range of the cube root function?
Function notation
(-infinity - +infinity)
Undefined slope
Up

33. Which direction does f(x-c) move
Horizontal right
2nd key - x^2 - graph
F(x+c) and f(x-c)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

34. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
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)
Parabola - up one and right three

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

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36. How are functions normally written?
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsitent
As equations

37. What type of slope do vertical lines have?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Undefined
Cannot be drawn in quizlet
Up

38. x= a real number is what type of equation?
Conditional
As equations
[0 -+infinity)
Because the demintor of a quotient can never equal zero

39. $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?
[0 -+infinity)
Down
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=x^2 - graph

40. What is the range for the standard cubic function?
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Math 4 x - graph

41. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
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

42. Draw or discuss a constant function
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. Draw or discuss an increasing function
(-infinity - +infinity)
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - 0]you[0 - +infinity)

44. Of the seven of algebra's common graph's how many are even?
The secant line
Absolute Value - Constant and Standard Quadratic
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

45. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=x^3
Negative inverse

46. What is the vertex?
Negative inverse
The minimum or maximum points
Yes - all the domains points to one range
C>1 - horizontal shrinking

47. Of the seven of algebra's common graph's how many are neither?
Square Root
(-infinity - +infinity)
(-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

48. Is the standard cubic function odd - even or neither?
Odd
No because you cannot have one domain pointing at two y's or ranges
Inconsistant
X^2

49. What is the letter used to represent slope?
Y=10
Cannot be drawn in quizlet
M
45 degree angle

50. What is the range of an identity function?
X=a
Parabola
(-infinity - +infinity)
Y=10