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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 two examples of composit functions?
Absolute Value - Constant and Standard Quadratic
F of g and g of f
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
When does a graph not define y as a function of x?

2. What type of slope do vertical lines have?
Down
Undefined slope
Y=x - identity function
Undefined

3. In an identity function if f(10)=x than What is y?
(-infinity - +infinity)
Y=10
Inconsistant
As many as you like

4. What is the formula for the square 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
Math 4 x - graph
F(x)=suare root of x
No because you cannot have one domain pointing at two y's or ranges

5. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-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

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

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7. What is the standard quadratic function?
X^2
Piecewise
F(x+h)-f(x)/h h cannot equal zero
The secant line

8. Is an absolute value function even - odd or neither?
Cannot be drawn in quizlet
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
Undefined slope
Even

9. How are functions normally written?
As equations
Y=x - identity function
F(x2)-f(x1) / x2-x1
F(x) = x

10. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=+c and f(x)-c

11. Draw or discuss a constant function
(-infinity - +infinity)
Cannot be drawn in quizlet
X math 3 graph
The single number y=

12. How are functions normally written?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
As equations
2nd key - x^2 - graph

13. How many ranges can you have for each domain?
Only one
F(x+h)-f(x)/h h cannot equal zero
Conditional
45 degree angle

14. standard absolute value - vertical shift formulas for positve and negative
1 -2 -3
F(x)=+c and f(x)-c
Any set of ordered pairs
X = the original sale price and the formula is x - .40x =$276

15. What are the algebra of functions?
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=x^3

16. y=f(cx) What does this formula represent?
F(x)=+c and f(x)-c
Set the x and y to zero and get the intercepts and then plot the points
The minimum or maximum points
0<c<1 - horizontal stretching

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

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18. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Y=IxI
Down
(-infinity - +infinity)

19. What is the range of a square root function?
Yes - all the domains points to one range
(f+g) - (f-g) - (fg) - (f/g) all of x
Three odd - cube root - identity - standard cubic
[0 -+infinity)

20. In an identity function if f(10)=x than What is y?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=10
Same
Mirror image neg quadrant to that of the positive quandrant

21. What is the formula for slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10
(-infinity - +infinity)

22. What is a range?
4 -6 -9
The second set of components of an ordered pair
(-infinity - +infinity)
Identity

23. A flat line underlining one vertical line is a symbol for...
Zero slope
Perpendicular line
C>1 - horizontal shrinking
A line passing through two distinct points

24. What direction does f(x)-c move in standard absolute value formula?
Down
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
The first set of components of an ordered pair

25. What equation does every line have? Discuss the variables.
Absolute Value - Constant and Standard Quadratic
The single number y=
Piecewise
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.

26. Draw or discuss a constant function
(-infinity - +infinity)
A line passing through two distinct points
45 degree angle
Cannot be drawn in quizlet

27. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
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.
45 degree angle
As many as you like

28. What is the vertical line test?
Because the demintor of a quotient can never equal zero
A V
X^2
When does a graph not define y as a function of x?

29. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Function notation
The secant line
Undefined

30. Of the seven of algebra's common graph's how many are neither?
0<c<1 - horizontal stretching
(-infinity - +infinity)
Odd
Square Root

31. What is the horizontal line formula?
0<c<1 - horizontal stretching
Y=IxI
Y=b
Parabola - up one and right three

32. How do you calculate a constant function in your calculator?
Negative inverse
Y= then enter the number then press graph
Inconsitent
Parraelle line

33. What type of line is a constant function?
Perpendicular line
Y=b
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Horizontal

34. What points do you use to plot the inverse on a graph?
Horizontal right
X=a
The opposite coordinates
(-infinity - +infinity)

35. What is a constant function?
F(x^1)=f(x^2)
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.
Y=IxI
When does a graph not define y as a function of x?

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
Down

37. What is the domain for a standard quadratic function?
F(x2)-f(x1) / x2-x1
4 -6 -9
(-infinity - +infinity)
[0 -+infinity)

38. What is a domain?
The first set of components of an ordered pair
1 -2 -3
0<c<1 - horizontal stretching
(-infinity - +infinity)

39. standard absolute value - horizontal shift formulas for left and right
Y=x - identity function
Y= then enter the number then press graph
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero

40. What type of slope do you have when a line falls left to right and m<0?
Conditional
Negative slope
Zero slope
(-infinity - +infinity)

41. What is slope?
F(x)=+c and f(x)-c
Y=b
A line passing through two distinct points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

42. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Inconsistant
Odd
4 -6 -9
The second set of components of an ordered pair

43. standard absolute value - vertical shift formulas for positve and negative
Piecewise
F(x)=+c and f(x)-c
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F(x)=suare root of x

44. Which direction does f(x-c) move
C>1 - horizontal shrinking
Absolute Value - Constant and Standard Quadratic
Horizontal right
Y=IxI

45. What does the square root function look like on a graph?
Y= then enter the number then press graph
(-infinity - +infinity)
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x

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

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47. Of the seven of algebra's common graph's how many are odd?
Conditional
Three odd - cube root - identity - standard cubic
Y=b
Down

48. What are two examples of composit functions?
F of g and g of f
(-infinity - 0]you[0 - +infinity)
The minimum or maximum points
X = the original sale price and the formula is x - .40x =$276

49. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
When does a graph not define y as a function of x?
F(x)=x^3
Y=x^2 - graph

50. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
Piecewise
Y=10