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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 is a constant function?
Yes - all the domains points to one range
F(x^1)=f(x^2)
Neither
Horizontal
2. What points do you use to plot the inverse on a graph?
F(x+h)-f(x)/h h cannot equal zero
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Down
The opposite coordinates
3. What is the vertical line formula?
F(x)=suare root of x
X=a
Even
As equations
4. Is the standard cubic function odd - even or neither?
(-infinity - 0]you[0 - +infinity)
Odd
F of g and g of f
X=a
5. What type of line is a constant function?
[0 -+infinity)
Down
Horizontal
Conditional
6. What is the domain of an identity function?
[0 -+infinity)
(-infinity - +infinity)
Parabola - up one and right three
Y=b
7. What is the domain for the standard cubic function?
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.
(-infinity - +infinity)
Y= then enter the number then press graph
Yes - all the domains points to one range
8. Draw or discuss a constant function
F(x^1)=f(x^2)
Y
Equation of a line
Cannot be drawn in quizlet
9. f(x) = x^2+3x+5 - what type of formula is this?
Only one
Up
Function notation
4 -6 -9
10. What are the calculator instructions for the cube root function?
Math 4 x - graph
Down
Cannot be drawn in quizlet
F(x^1)=f(x^2)
11. 4x+5x=8x is what type of an equation?
Math 4 x - graph
Horizontal right
Yes - all the domains points to one range
Conditional
12. What type of slope do you have when a line rises from left to right and m>0?
Even
Change in y / change in x = rise / run = y2-y1 / x2-x1
Postiive slope
2nd catalog (zero key -) abs(x) - graph
13. What is an identity function?
Conditional
Inconsistant
45 degree angle
[0 -+infinity)
14. What type of line is a constant function?
Horizontal
(-infinity - 0]you[0 - +infinity)
F of g and g of f
X = the original sale price and the formula is x - .40x =$276
15. What is slope?
A line passing through two distinct points
20+.05x=5+.10x x=minutes
The first set of components of an ordered pair
Cannot be drawn in quizlet
16. What does the absolute value function look like?
Negative inverse
2nd key - x^2 - graph
A V
The second set of components of an ordered pair
17. What is the point slope formula and when do you use it?
Y=IxI
A line passing through two distinct points
F(x)=suare root of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
18. What does the square root function look like on a graph?
Horizontal left
Line ascending to the right gradually
Equation of a line
The single number y=
19. What is the range of the cube root function?
Absolute Value - Constant and Standard Quadratic
Y=IxI
Horizontal right
(-infinity - +infinity)
20. What type of line is an identity function?
The first set of components of an ordered pair
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.
45 degree angle
A V
21. What are the calculator instructions for the cube root function?
Even
Math 4 x - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y=10
22. Is the standard cubic function odd - even or neither?
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
Odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Same
23. What is the slope of a perpendicular line?
Set the x and y to zero and get the intercepts and then plot the points
Negative inverse
Function notation
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.
24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Function notation
1 -2 -3
Horizontal left
No because you cannot have one domain pointing at two y's or ranges
25. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
F(x)=suare root of x
0<c<1 - horizontal stretching
Y=IxI
X = the original sale price and the formula is x - .40x =$276
26. How many domains can you have pointing to one range?
Yes - all the domains points to one range
[0 -+infinity)
As many as you like
Negative slope
27. Is a standard quadratic function even - odd or neither?
X=a
Even
As equations
Y=10
28. What does the standard cubic function look like on a graph?
The single number y=
Yes because two x's or domains can point to one y
X = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
29. What is the domain of the cube root function?
(-infinity - +infinity)
Cannot be drawn in quizlet
F of g and g of f
Zero slope
30. y=f(cx) What does this formula represent?
Even
Yes because two x's or domains can point to one y
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph
31. Which direction does f(x+c) move
Function notation
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x+h)-f(x)/h h cannot equal zero
Horizontal left
32. Why can h not equal zero in the difference of a quotient function formula?
Undefined
Cannot be drawn in quizlet
Horizontal
Because the demintor of a quotient can never equal zero
33. Which direction does f(x+c) move
Horizontal left
Y
Conditional
Odd
34. Is an absolute value function even - odd or neither?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
Postiive slope
The minimum or maximum points
35. What type of slope do you have when a line falls left to right and m<0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
Approach neg toward x through zero and above positive close to x
Undefined
36. 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 of g and g of f
Cannot be drawn in quizlet
The second set of components of an ordered pair
37. What is the formula for the square root function?
F(x)=suare root of x
Cannot be drawn in quizlet
X^2
Line ascending to the right gradually
38. What equation does every line have? Discuss the variables.
(-infinity - +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.
Even
Square Root
39. What is the letter used to represent slope?
M
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
40. What is the formula for the standard cubic function?
F(x)=x^3
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
41. Draw or discuss a decreasing function
(f+g) - (f-g) - (fg) - (f/g) all of x
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
(-infinity - +infinity)
42. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(-infinity - +infinity)
The first set of components of an ordered pair
Y=x^2 - graph
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
43. What is a relation?
Any set of ordered pairs
Because the demintor of a quotient can never equal zero
F(x^1)=f(x^2)
Identity
44. What is the formula for to calculate the difference of a quotient function?
Identity
Y=b
F(x+h)-f(x)/h h cannot equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
45. What is the domain of a square root function?
Zero slope
X=a
The secant line
[0 -+infinity)
46. How would this formula move f(x)=(x+1)^2-3
Undefined
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Parabola - up one and right three
Neither
47. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Y=x^2 - graph
0<c<1 - horizontal stretching
The opposite coordinates
48. What does the average rate of change formula solve?
The minimum or maximum points
C>1 - horizontal shrinking
(-infinity - +infinity)
The slope of a line containing two points
49. What is the standard quadratic function?
Postiive slope
F(x2)-f(x1) / x2-x1
Inconsitent
X^2
50. What are the calculator instructions for a square root function?
F(x+h)-f(x)/h h cannot equal zero
Parraelle line
Up
2nd key - x^2 - graph