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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. Is an absolute value function even - odd or neither?
The opposite coordinates
F of g and g of f
Y=x - identity function
Even

2. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1

3. What is a domain?
F(x)=IxI
Math 4 x - graph
Cannot be drawn in quizlet
The first set of components of an ordered pair

4. 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
(-infinity - +infinity)
Only one
(-infinity - +infinity)

5. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=10
Conditional
X = the original sale price and the formula is x - .40x =$276

6. 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
(f+g) - (f-g) - (fg) - (f/g) all of x
Parraelle line
(-infinity - 0]you[0 - +infinity)

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

8. A flat line underlining one vertical line is a symbol for...
Approach neg toward x through zero and above positive close to x
Perpendicular line
Horizontal
Parraelle line

9. What is the formula for the square root function?
F(x)=suare root of x
(-infinity - +infinity)
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1

10. What does the average rate of change formula solve?
45 degree angle
(-infinity - +infinity)
[0 -+infinity)
The slope of a line containing two points

11. What does linear equation mean?
Conditional
Cannot be drawn in quizlet
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

12. What is the domain for the standard cubic function?
(-infinity - +infinity)
Function notation
Same
Y=x^2 - graph

13. What is the domain of the cube root function?
2nd key - x^2 - graph
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

14. What is the formula in both horizontal stretching and horizontal shrinking?
Line ascending to the right gradually
C>1 - horizontal shrinking
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As many as you like

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The single number y=
Negative slope
A V
4 -6 -9

16. What is the range of an identity function?
The secant line
(-infinity - +infinity)
Odd
Parabola

17. Which direction does f(x+c) move
In a quotient
Piecewise
45 degree angle
Horizontal left

18. What is the horizontal line formula?
Y=b
(-infinity - 0]you[0 - +infinity)
F(x) = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

19. What type of slope do vertical lines have?
Same
X = the original sale price and the formula is x - .40x =$276
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined

20. What is the vertex?
Piecewise
The minimum or maximum points
No because you cannot have one domain pointing at two y's or ranges
F(x2)-f(x1) / x2-x1

21. What is the range for a standard quadratic function?
F(x2)-f(x1) / x2-x1
Horizontal left
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)

22. How many ranges can you have for each domain?
0<c<1 - horizontal stretching
F(x^1)=f(x^2)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Only one

23. What are the steps for solving a word problem?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
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
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Undefined slope
1 -2 -3
F(x)=suare root of x
[0 -+infinity)

25. x= a real number is what type of equation?
F(x) = x
Function notation
Y
Conditional

26. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
The single number y=
Undefined
2nd catalog (zero key -) abs(x) - graph

27. What are the calculator instructions for absolute value?
4 -6 -9
Yes because two x's or domains can point to one y
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. What does the absolute value function look like?
Horizontal right
A V
When does a graph not define y as a function of x?
No because you cannot have one domain pointing at two y's or ranges

29. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
(-infinity - +infinity)

30. Why can h not equal zero in the difference of a quotient function formula?
When does a graph not define y as a function of x?
X math 3 graph
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

31. What are the calculator instructions for a square root function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
2nd key - x^2 - graph

32. What points do you use to plot the inverse on a graph?
Conditional
The opposite coordinates
Equation of a line
(-infinity - +infinity)

33. y=f(cx) - What does this formula represent?
Conditional
The first set of components of an ordered pair
Any set of ordered pairs
C>1 - horizontal shrinking

34. What is the range of a square root function?
20+.05x=5+.10x x=minutes
Postiive slope
[0 -+infinity)
2nd key - x^2 - graph

35. Which direction does f(x+c) move
Horizontal left
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Inconsistant

36. What is the range for an absolute value function?
As many as you like
45 degree angle
(-infinity - 0]you[0 - +infinity)
M

37. How many domains can you have pointing to one range?
As many as you like
Conditional
(-infinity - 0]you[0 - +infinity)
Horizontal

38. What is a relation?
F(x)=3 square root x
F of g and g of f
Any set of ordered pairs
Absolute Value - Constant and Standard Quadratic

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

40. What is the letter used to represent slope?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
M
2nd key - x^2 - graph
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.

41. standard absolute value - vertical shift formulas for positve and negative
F(x+c) and f(x-c)
(-infinity - 0]you[0 - +infinity)
4 -6 -9
F(x)=+c and f(x)-c

42. What is the standard quadratic function?
2nd key - x^2 - graph
X^2
45 degree angle
As many as you like

43. What is another way of writing the absolute value function?
The opposite coordinates
Y=IxI
F(x)=x^3
2nd key - x^2 - graph

44. What type of slope do horizontal lines have?
F(x)=3 square root x
Same
F(x^1)=f(x^2)
C>1 - horizontal shrinking

45. What shape is the standard quadratic function?
Set the x and y to zero and get the intercepts and then plot the points
Only one
No because you cannot have one domain pointing at two y's or ranges
Parabola

46. Which direction does f(x-c) move
Horizontal right
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
The single number y=

47. Is a constant function even - odd or neither?
(-infinity - +infinity)
Postiive slope
Even
Inconsistant

48. What is the formula for an absolute value function?
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=IxI
X math 3 graph

49. What is the domain and range of a constant function?
0<c<1 - horizontal stretching
F(x)=+c and f(x)-c
The minimum or maximum points
(-infinity - +infinity)

50. What is the average rate of change formula?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
F(x2)-f(x1) / x2-x1
1 -2 -3