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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. Draw or discuss a decreasing function
Postiive slope
Cannot be drawn in quizlet
4 -6 -9
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
2. x=no real numbers is what type of an equation?
The first set of components of an ordered pair
Inconsistant
In a quotient
F(x^1)=f(x^2)
3. What is the formula for to calculate the difference of a quotient function?
X^2
Approach neg toward x through zero and above positive close to x
Even
F(x+h)-f(x)/h h cannot equal zero
4. What is the range for a standard quadratic function?
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
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
Yes - all the domains points to one range
5. What are two examples of composit functions?
F of g and g of f
The opposite coordinates
C>1 - horizontal shrinking
X math 3 graph
6. What is the domain for the standard cubic function?
Function notation
Perpendicular line
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
7. x=no real numbers is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
Inconsistant
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
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
8. What is the formula for an identity function?
Yes - all the domains points to one range
F(x) = x
X is the hours to repair the boat. $1603-532=anwser/63 = x
X math 3 graph
9. x^2+y=4 is this a function? Why?
10. What are the calculator instructions for the standard cubic function?
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
X math 3 graph
X=a
(-infinity - +infinity)
11. What is the domain for a standard quadratic function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
C>1 - horizontal shrinking
F(x)=IxI
12. What is the horizontal line formula?
F(x)=3 square root x
Postiive slope
Y=b
Undefined slope
13. What type of line is an identity function?
Postiive slope
Parabola
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
14. How are functions normally written?
As equations
Parraelle line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
15. What does the square root function look like on a graph?
Line ascending to the right gradually
45 degree angle
Any set of ordered pairs
Cannot be drawn in quizlet
16. What is the vertex?
The minimum or maximum points
F(x) = x
X is the hours to repair the boat. $1603-532=anwser/63 = x
X=a
17. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Zero slope
F(x+c) and f(x-c)
(-infinity - +infinity)
18. What is the formula for an identity function?
Identity
F(x) = x
Y= then enter the number then press graph
(-infinity - +infinity)
19. 4(x-7)=4x+28 is what type of an equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Even
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
20. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
(-infinity - +infinity)
F(x)=IxI
The single number y=
21. How many ranges can you have for each domain?
X^2
Only one
(-infinity - +infinity)
Even
22. Two vertical lines side by side are a symbol for what
F(x)=3 square root x
(-infinity - +infinity)
(-infinity - +infinity)
Parraelle line
23. 4(x-7)=4x-28 is what type of an equation?
F(x)=3 square root x
X^2
F(x)=+c and f(x)-c
Identity
24. How do you graph Ax+By+C=0?
Y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Set the x and y to zero and get the intercepts and then plot the points
Y=x - identity function
25. Of the seven of algebra's common graph's how many are neither?
Equation of a line
F(x+c) and f(x-c)
[0 -+infinity)
Square Root
26. Is a constant function even - odd or neither?
Even
Piecewise
Approach neg toward x through zero and above positive close to x
Because the demintor of a quotient can never equal zero
27. y=f(cx) - What does this formula represent?
Perpendicular line
C>1 - horizontal shrinking
Odd
Equation of a line
28. y=f(cx) What does this formula represent?
Y=x^2 - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
29. What is a relation?
F(x) = x
No because you cannot have one domain pointing at two y's or ranges
Any set of ordered pairs
Horizontal right
30. What are the calculator instructions for a standard quadratic equation?
When does a graph not define y as a function of x?
Negative slope
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
31. What is the range of the constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The single number y=
Parraelle line
Three odd - cube root - identity - standard cubic
32. Is a constant function even - odd or neither?
Even
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
33. What is the standard quadratic function?
No because you cannot have one domain pointing at two y's or ranges
X=a
X^2
A line passing through two distinct points
34. y=f(cx) - What does this formula represent?
Horizontal
C>1 - horizontal shrinking
X^2
A V
35. 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?
Even
X is the hours to repair the boat. $1603-532=anwser/63 = x
Conditional
Line ascending to the right gradually
36. standard absolute value - vertical shift formulas for positve and negative
Inconsitent
(-infinity - +infinity)
(-infinity - +infinity)
F(x)=+c and f(x)-c
37. How would this formula move f(x)=(x+1)^2-3
F(x)=suare root of x
Function notation
Parabola - up one and right three
Even
38. What are the calculator instructions for absolute value?
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
Undefined
Perpendicular line
39. Which direction does f(x+c) move
Horizontal left
Undefined slope
Negative inverse
F(x+c) and f(x-c)
40. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
The opposite coordinates
Inconsistant
F(x)=3 square root x
41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
[0 -+infinity)
Odd
Square Root
1 -2 -3
42. What points do you use to plot the inverse on a graph?
C>1 - horizontal shrinking
Yes because two x's or domains can point to one y
The opposite coordinates
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
43. What is the domain of the cube root function?
Horizontal left
(-infinity - +infinity)
Horizontal left
F(x)=suare root of x
44. How many ranges can you have for each domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y
Y=IxI
Only one
45. What type of line is a constant function?
Odd
Horizontal
Horizontal right
(-infinity - +infinity)
46. What type of line is an identity function?
45 degree angle
(-infinity - 0]you[0 - +infinity)
Postiive slope
X^2
47. What type of slope do you have when a line rises from left to right and m>0?
Square Root
Postiive slope
In a quotient
Any set of ordered pairs
48. What can never equal zero in the slope formula and why?
Negative slope
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
49. What does the graph of the cube root function look like on the graph?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Approach neg toward x through zero and above positive close to x
Line ascending to the right gradually
50. Is an absolute value function even - odd or neither?
Negative slope
(-infinity - +infinity)
Y=IxI
Even