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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. How are functions normally written?
Identity
(-infinity - +infinity)
M
As equations
2. Is the square root function odd - even or neither?
Neither
Conditional
Only one
(-infinity - +infinity)
3. What type of line is an identity function?
Parabola - up one and right three
45 degree angle
Inconsistant
Because the demintor of a quotient can never equal zero
4. What type of slope do horizontal lines have?
Inconsitent
F(x^1)=f(x^2)
Same
X^2
5. What does the square root function look like on a graph?
Down
Line ascending to the right gradually
(-infinity - +infinity)
0<c<1 - horizontal stretching
6. What are the calculator instructions for absolute value?
Y=x - identity function
Undefined
Identity
2nd catalog (zero key -) abs(x) - graph
7. How many ranges can you have for each domain?
Even
Only one
Neither
Parraelle line
8. What is the domain for the standard cubic function?
Three odd - cube root - identity - standard cubic
Parraelle line
Postiive slope
(-infinity - +infinity)
9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Perpendicular line
1 -2 -3
45 degree angle
(-infinity - +infinity)
10. Which direction does f(x-c) move
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
The minimum or maximum points
20+.05x=5+.10x x=minutes
Horizontal right
11. $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?
Y=x^2 - graph
F(x+h)-f(x)/h h cannot equal zero
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
F(x) = x
12. What is the slope of a perpendicular line?
Negative inverse
Y=10
X math 3 graph
Horizontal
13. x=no real numbers is what type of an equation?
X math 3 graph
Identity
Negative slope
Inconsistant
14. What are the calculator instructions for the standard cubic function?
X math 3 graph
F of g and g of f
Equation of a line
Line ascending to the right gradually
15. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
Down
(-infinity - 0]you[0 - +infinity)
Square Root
16. Draw or discuss a constant function
As equations
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Y=x^2 - graph
17. What is the domain for an absolute value function?
Postiive slope
(-infinity - +infinity)
4 -6 -9
Neither
18. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
X=a
Odd
19. What is the range for a standard quadratic function?
Line ascending to the right gradually
Undefined slope
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
20. What points do you use to plot the inverse on a graph?
F(x)=IxI
The opposite coordinates
Inconsitent
Piecewise
21. What is the domain and range of a constant function?
Cannot be drawn in quizlet
Y=x^2 - graph
Horizontal left
(-infinity - +infinity)
22. What is the domain for an absolute value function?
(-infinity - +infinity)
X math 3 graph
Y= then enter the number then press graph
Horizontal right
23. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Parabola - up one and right three
Because the demintor of a quotient can never equal zero
Even
24. What is the formula for an absolute value function?
M
Neither
As many as you like
F(x)=IxI
25. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
Horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A line passing through two distinct points
26. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
[0 -+infinity)
Y=x^2 - graph
0<c<1 - horizontal stretching
27. What type of line is a constant function?
(-infinity - +infinity)
Horizontal
The secant line
Identity
28. How would this formula move f(x)=(x+1)^2-3
The secant line
F of g and g of f
Parabola - up one and right three
Negative inverse
29. Of the seven of algebra's common graph's how many are neither?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
30. What is a range?
[0 -+infinity)
Identity
The second set of components of an ordered pair
A line passing through two distinct points
31. What is slope?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
A line passing through two distinct points
[0 -+infinity)
32. What does linear equation mean?
Equation of a line
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.
Neither
A V
33. What is the range of the constant function?
The single number y=
Horizontal
Horizontal right
Neither
34. What is the range of an identity function?
Conditional
(-infinity - +infinity)
X=a
Yes - all the domains points to one range
35. What is the range for an absolute value function?
X math 3 graph
(-infinity - 0]you[0 - +infinity)
Perpendicular line
The single number y=
36. What is a constant function?
F(x^1)=f(x^2)
Y=x - identity function
C>1 - horizontal shrinking
Odd
37. f(x) = x^2+3x+5 - what type of formula is this?
Any set of ordered pairs
When does a graph not define y as a function of x?
Horizontal right
Function notation
38. What type of slope do you have when m=? and the line is vertical?
Undefined slope
C>1 - horizontal shrinking
1 -2 -3
Y= then enter the number then press graph
39. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
Parabola
X is the hours to repair the boat. $1603-532=anwser/63 = x
40. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
F(x)=IxI
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
41. What type of line is 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
Horizontal right
X^2
45 degree angle
42. Two vertical lines side by side are a symbol for what
Even
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parraelle line
43. What are the steps for solving a word problem?
Absolute Value - Constant and Standard Quadratic
Postiive slope
2nd catalog (zero key -) abs(x) - graph
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
44. What shape is the standard quadratic function?
Piecewise
Parabola
4 -6 -9
M
45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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 is the hours to repair the boat. $1603-532=anwser/63 = x
Parabola - up one and right three
Odd
46. What type of slope do you have when m=? and the line is vertical?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined slope
F(x)=3 square root x
Negative slope
47. What is the domain for a standard quadratic function?
Neither
[0 -+infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
48. Why can h not equal zero in the difference of a quotient function formula?
X^2
Even
Because the demintor of a quotient can never equal zero
Zero slope
49. What type of slope do vertical lines have?
Y=x^2 - graph
Undefined
The secant line
C>1 - horizontal shrinking
50. How are functions normally written?
45 degree angle
As equations
Neither
(-infinity - +infinity)