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Test your basic knowledge |
College Algebra Test
Subjects
:
math
,
algebra
Instructions:
Answer
50
questions in
20 minutes
.
2 minutes extra for reading the instructions.
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 is the range of the constant function?
X^2
Y=b
Parraelle line
The single number y=
2. What type of slope do you have when a line rises from left to right and m>0?
In a quotient
Odd
Postiive slope
Line ascending to the right gradually
3. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Only one
[0 -+infinity)
45 degree angle
4. What points do you use to plot the inverse on a graph?
The opposite coordinates
Horizontal
F(x^1)=f(x^2)
Y=x^2 - graph
5. x= a real number is what type of equation?
Line ascending to the right gradually
Conditional
The secant line
Y=10
6. What does the standard cubic function look like on a graph?
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Perpendicular line
Postiive slope
7. What is the range for the standard cubic function?
Even
Cannot be drawn in quizlet
(-infinity - +infinity)
Function notation
8. How many domains can you have pointing to one range?
Inconsistant
As many as you like
M
(f+g) - (f-g) - (fg) - (f/g) all of x
9. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
The first set of components of an ordered pair
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
X is the hours to repair the boat. $1603-532=anwser/63 = x
10. Is a standard quadratic function even - odd or neither?
Only one
Even
Horizontal
F(x+h)-f(x)/h h cannot equal zero
11. 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?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=10
Undefined
12. What type of line is an identity function?
Even
F of g and g of f
[0 -+infinity)
45 degree angle
13. Is an absolute value function even - odd or neither?
Piecewise
Neither
Conditional
Even
14. Is a constant function even - odd or neither?
Any set of ordered pairs
Even
Horizontal
(-infinity - +infinity)
15. What is the range of an identity function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
X^2
The secant line
16. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Square Root
The slope of a line containing two points
Cannot be drawn in quizlet
17. What type of slope do vertical lines have?
Y
In a quotient
Undefined
Cannot be drawn in quizlet
18. What is the vertical line formula?
Parabola - up one and right three
X=a
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
19. What is the domain of the cube root function?
4 -6 -9
F(x+c) and f(x-c)
(-infinity - +infinity)
Undefined slope
20. What is the vertical line test?
The slope of a line containing two points
When does a graph not define y as a function of x?
Perpendicular line
Y=IxI
21. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Line ascending to the right gradually
Identity
22. f(x) = x^2+3x+5 - what type of formula is this?
Y=b
(-infinity - +infinity)
Inconsitent
Function notation
23. What is the range of the cube root function?
Even
F(x) = x
(-infinity - +infinity)
45 degree angle
24. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
4 -6 -9
X2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs
25. Two vertical lines side by side are a symbol for what
0<c<1 - horizontal stretching
Conditional
Parraelle line
(-infinity - +infinity)
26. What is the range of a square root function?
[0 -+infinity)
Yes - all the domains points to one range
Equation of a line
X = the original sale price and the formula is x - .40x =$276
27. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
The minimum or maximum points
As equations
Postiive slope
28. What does the graph of the cube root function look like on the graph?
Down
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.
Horizontal left
Approach neg toward x through zero and above positive close to x
29. What is the domain of a square root function?
The single number y=
Horizontal
[0 -+infinity)
The secant line
30. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X = the original sale price and the formula is x - .40x =$276
Identity
C>1 - horizontal shrinking
31. y^2+x=4 is this a function? Why?
32. Of the seven of algebra's common graph's how many are neither?
Square Root
X=a
X is the hours to repair the boat. $1603-532=anwser/63 = x
The second set of components of an ordered pair
33. Draw or discuss a constant function
The secant line
When does a graph not define y as a function of x?
Math 4 x - graph
Cannot be drawn in quizlet
34. What are two examples of composit functions?
(-infinity - +infinity)
F of g and g of f
Up
X = the original sale price and the formula is x - .40x =$276
35. What is the slope intercept formula? Define all the variables.
Even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
Parraelle line
36. What type of slope do you have when m=? and the line is vertical?
F(x)=+c and f(x)-c
Approach neg toward x through zero and above positive close to x
Undefined slope
Same
37. What is the formula for an identity 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) = x
Neither
X=a
38. Which direction does f(x)=+c move in standard absolute value formula?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Up
As many as you like
(-infinity - +infinity)
39. Two vertical lines side by side are a symbol for what
Approach neg toward x through zero and above positive close to x
Parraelle line
Zero slope
Horizontal left
40. What type of slope do vertical lines have?
Cannot be drawn in quizlet
Y=x^2 - graph
Undefined
Horizontal
41. Draw or discuss a constant function
Parraelle line
F(x) = x
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
42. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
M
43. What is the formula for an identity function?
F(x) = x
Odd
F(x)=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
44. What are the calculator instructions for the standard cubic function?
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y
F(x)=IxI
X math 3 graph
45. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
Inconsitent
1 -2 -3
Postiive slope
46. Why can h not equal zero in the difference of a quotient function formula?
Undefined
Because the demintor of a quotient can never equal zero
F(x)=+c and f(x)-c
(-infinity - 0]you[0 - +infinity)
47. What are the algebra of functions?
Math 4 x - graph
Inconsitent
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
48. What is the formula for to calculate the difference of a quotient function?
1 -2 -3
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero
49. What are the calculator instructions for the standard cubic function?
F(x^1)=f(x^2)
X is the hours to repair the boat. $1603-532=anwser/63 = x
X math 3 graph
Even
50. Is the square root function odd - even or neither?
Yes because two x's or domains can point to one y
Only one
Neither
F(x)=3 square root x