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Test your basic knowledge |
College Algebra Test
Start Test
Study First
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 standard cubic function?
Undefined
1 -2 -3
Only one
X math 3 graph
2. What are two examples of composit functions?
F of g and g of f
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
F(x)=IxI
3. What can never equal zero in the slope formula and why?
X math 3 graph
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
C>1 - horizontal shrinking
4. What is the domain of an identity function?
Odd
Y=b
(-infinity - +infinity)
Identity
5. Draw or discuss an increasing function
20+.05x=5+.10x x=minutes
Only one
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
6. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
F of g and g of f
A line passing through two distinct points
7. What is slope?
Y=x^2 - graph
[0 -+infinity)
C>1 - horizontal shrinking
A line passing through two distinct points
8. Is an absolute value function even - odd or neither?
X^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
Even
9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
The minimum or maximum points
Parraelle line
Yes - all the domains points to one range
20+.05x=5+.10x x=minutes
10. What is a constant function?
2nd catalog (zero key -) abs(x) - graph
The single number y=
F(x^1)=f(x^2)
When does a graph not define y as a function of x?
11. What equation does every line have? Discuss the variables.
Function notation
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
20+.05x=5+.10x x=minutes
12. What is the standard quadratic function?
X^2
Horizontal right
X=a
A line passing through two distinct points
13. x= a real number is what type of equation?
Conditional
Piecewise
0<c<1 - horizontal stretching
Odd
14. Of the seven of algebra's common graph's how many are even?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Absolute Value - Constant and Standard Quadratic
Y= then enter the number then press graph
Neither
15. What is the formula for slope?
Because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
16. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
The slope of a line containing two points
X is the hours to repair the boat. $1603-532=anwser/63 = x
[0 -+infinity)
17. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
X = the original sale price and the formula is x - .40x =$276
Conditional
[0 -+infinity)
18. What is slope?
Down
A line passing through two distinct points
A V
Because the demintor of a quotient can never equal zero
19. Is an absolute value function even - odd or neither?
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
When does a graph not define y as a function of x?
M
20. What type of slope do horizontal lines have?
Piecewise
Undefined
(-infinity - +infinity)
Same
21. What type of slope do you have when m=? and the line is vertical?
Undefined slope
F(x)=suare root of x
When does a graph not define y as a function of x?
Square Root
22. x^2+y=4 is this a function? Why?
23. Which direction does f(x-c) move
(-infinity - +infinity)
Horizontal right
Odd
Piecewise
24. What is the range of a square root function?
F(x)=x^3
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
Even
25. What does linear equation mean?
Equation of a line
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Odd
26. How do you graph Ax+By+C=0?
Negative slope
M
Set the x and y to zero and get the intercepts and then plot the points
F(x)=IxI
27. What is the formula for an identity function?
[0 -+infinity)
Same
F(x) = x
Cannot be drawn in quizlet
28. y^2+x=4 is this a function? Why?
29. What is a range?
Equation of a line
Because the demintor of a quotient can never equal zero
The second set of components of an ordered pair
F(x)=+c and f(x)-c
30. What type of slope do you have when a line rises from left to right and m>0?
Negative inverse
X2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Postiive slope
31. What type of slope do horizontal lines have?
(-infinity - +infinity)
The first set of components of an ordered pair
Same
(f+g) - (f-g) - (fg) - (f/g) all of x
32. What is the range for an absolute value function?
[0 -+infinity)
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Equation of a line
33. 4x+5x=8x is what type of an equation?
Horizontal
Conditional
Horizontal left
(-infinity - +infinity)
34. 4(x-7)=4x-28 is what type of an equation?
[0 -+infinity)
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.
Identity
F(x)=IxI
35. Is a standard quadratic function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
F(x)=3 square root x
Even
Set the x and y to zero and get the intercepts and then plot the points
36. y=f(cx) - What does this formula represent?
(-infinity - 0]you[0 - +infinity)
A line passing through two distinct points
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
37. What is the standard quadratic function?
Up
M
4 -6 -9
X^2
38. What type of line is a constant function?
Inconsistant
Horizontal
Y=x^2 - graph
(-infinity - +infinity)
39. What are the four steps for solving a linear equation?
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
Horizontal
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.
Even
40. Of the seven of algebra's common graph's how many are neither?
Mirror image neg quadrant to that of the positive quandrant
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
Square Root
41. How many domains can you have pointing to one range?
Equation of a line
As many as you like
The secant line
Conditional
42. In an identity function if f(10)=x than What is y?
45 degree angle
Y=10
Inconsitent
No because you cannot have one domain pointing at two y's or ranges
43. What is the domain of the cube root function?
Yes - all the domains points to one range
(-infinity - +infinity)
45 degree angle
X=a
44. What is the vertical line test?
F of g and g of f
When does a graph not define y as a function of x?
Conditional
F(x)=suare root of x
45. How do you graph Ax+By+C=0?
The second set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
Horizontal left
Y=x^2 - graph
46. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Conditional
1 -2 -3
A line passing through two distinct points
(-infinity - +infinity)
47. Draw or discuss a decreasing function
[0 -+infinity)
Y=IxI
Undefined slope
Cannot be drawn in quizlet
48. How many ranges can you have for each domain?
Cannot be drawn in quizlet
Negative slope
Only one
Parraelle line
49. Why can h not equal zero in the difference of a quotient function formula?
F(x^1)=f(x^2)
Because the demintor of a quotient can never equal zero
X is the hours to repair the boat. $1603-532=anwser/63 = x
[0 -+infinity)
50. What is the vertical line formula?
(-infinity - +infinity)
Identity
Function notation
X=a