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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 does the absolute value function look like?
A V
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3
[0 -+infinity)

2. standard absolute value - horizontal shift formulas for left and right
1 -2 -3
Conditional
(-infinity - +infinity)
F(x+c) and f(x-c)

3. In an identity function if f(10)=x than What is y?
Even
Y=10
F(x)=x^3
(-infinity - +infinity)

4. What is the letter used to represent slope?
Down
M
Horizontal right
Y=b

5. What is the formula for an absolute value function?
Undefined
F(x)=IxI
(-infinity - +infinity)
(-infinity - +infinity)

6. What is the domain and range of a constant function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined

7. y=f(cx) What does this formula represent?
Negative slope
0<c<1 - horizontal stretching
Yes because two x's or domains can point to one y
Horizontal right

8. How are functions normally written?
Horizontal
Neither
As equations
The single number y=

9. What is the formula for an absolute value function?
Three odd - cube root - identity - standard cubic
X math 3 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
F(x)=IxI

10. What type of line is an identity function?
45 degree angle
Yes because two x's or domains can point to one y
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

11. What type of line is a constant function?
Identity
Horizontal
Neither
45 degree angle

12. What is the domain of the cube root function?
(-infinity - +infinity)
Equation of a line
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1

13. What is the vertical line formula?
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
X=a
Y=10

14. What is a constant function?
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
The first set of components of an ordered pair
F(x^1)=f(x^2)

15. What does the standard cubic function look like on a graph?
Horizontal
Mirror image neg quadrant to that of the positive quandrant
As equations
Y=IxI

16. Is an identity function even - odd or neither?
Odd
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.
Square Root
In a quotient

17. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
X^2
Parabola
F of g and g of f

18. What is a domain?
Cannot be drawn in quizlet
The first set of components of an ordered pair
X=a
(-infinity - +infinity)

19. Is the square root function odd - even or neither?
(-infinity - 0]you[0 - +infinity)
Odd
Neither
Inconsitent

20. Why can h not equal zero in the difference of a quotient function formula?
Y=x^2 - graph
Because the demintor of a quotient can never equal zero
Math 4 x - graph
X=a

21. In an identity function if f(10)=x than What is y?
As many as you like
Inconsitent
Y=10
The first set of components of an ordered pair

22. 4(x-7)=4x-28 is what type of an equation?
45 degree angle
Y=b
Identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

23. What shape is the standard quadratic function?
Parabola - up one and right three
Three odd - cube root - identity - standard cubic
Parabola
(-infinity - +infinity)

24. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
As many as you like
20+.05x=5+.10x x=minutes
Identity

25. What type of slope do you have when the line is horizontal and m=0?
Zero slope
X math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola - up one and right three

26. (1 -5)(2 -5)(3 -5)(4 -5) - is this a 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.
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.
Yes - all the domains points to one range
As equations

27. Is an absolute value function even - odd or neither?
Even
Same
Negative slope
Odd

28. What are the calculator instructions for the standard cubic function?
F(x)=x^3
Cannot be drawn in quizlet
Equation of a line
X math 3 graph

29. How would this formula move f(x)=(x+1)^2-3
[0 -+infinity)
Parabola - up one and right three
Because the demintor of a quotient can never equal zero
When does a graph not define y as a function of x?

30. What are two examples of composit functions?
F of g and g of f
Horizontal
Cannot be drawn in quizlet
Identity

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

32. What are the four steps for finding the inverse of a function?
Cannot be drawn in quizlet
Equation of a line
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

33. What is the vertical line test?
When does a graph not define y as a function of x?
Odd
Neither
2nd key - x^2 - graph

34. What is the vertical line formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x2)-f(x1) / x2-x1
Y=x^2 - graph
X=a

35. What points do you use to plot the inverse on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X is the hours to repair the boat. $1603-532=anwser/63 = x
Identity
The opposite coordinates

36. What is the vertex?
As equations
The minimum or maximum points
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

37. Which direction does f(x+c) move
Zero slope
Yes - all the domains points to one range
Horizontal left
Line ascending to the right gradually

38. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Because the demintor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
Odd

39. What are the calculator instructions for a square root function?
The first set of components of an ordered pair
2nd key - x^2 - graph
Cannot be drawn in quizlet
X=a

40. Is a standard quadratic function even - odd or neither?
Conditional
F of g and g of f
Even
Cannot be drawn in quizlet

41. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Neither
Y=x - identity function
X = the original sale price and the formula is x - .40x =$276

42. What direction does f(x)-c move in standard absolute value formula?
Down
X=a
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

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

44. Is the square root function odd - even or neither?
F of g and g of f
The opposite coordinates
F(x)=suare root of x
Neither

45. What is the letter used to represent slope?
Parraelle line
M
The minimum or maximum points
Parabola

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
Only one
The minimum or maximum points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

47. What is the range for a standard quadratic function?
Postiive slope
(-infinity - 0]you[0 - +infinity)
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x

48. What are the calculator instructions for the cube root function?
The minimum or maximum points
Math 4 x - graph
No because you cannot have one domain pointing at two y's or ranges
F of g and g of f

49. Is an identity function even - odd or neither?
4 -6 -9
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
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

50. What is the standard quadratic function?
X^2
1 -2 -3
Negative inverse
As many as you like