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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. Is a constant function even - odd or neither?
Horizontal
Even
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Odd
2. What is another way of writing the absolute value function?
Y=IxI
Square Root
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsitent
3. What is the formula for an absolute value function?
F(x)=IxI
As equations
Equation of a line
Y=b
4. What is a relation?
Down
(-infinity - +infinity)
Parraelle line
Any set of ordered pairs
5. What does the absolute value function look like?
A V
(-infinity - +infinity)
Horizontal
(-infinity - +infinity)
6. What type of line is an identity function?
45 degree angle
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
7. What is the standard quadratic function?
F(x) = x
X^2
(-infinity - +infinity)
Perpendicular line
8. Draw or discuss a constant function
Cannot be drawn in quizlet
Y=b
As many as you like
[0 -+infinity)
9. What type of slope do you have when m=? and the line is vertical?
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=x^3
Undefined slope
10. What is the domain for an absolute value function?
(-infinity - +infinity)
A line passing through two distinct points
When does a graph not define y as a function of x?
Postiive slope
11. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Parraelle line
Y=10
(-infinity - +infinity)
12. 4(x-7)=4x-28 is what type of an equation?
X = the original sale price and the formula is x - .40x =$276
Same
Identity
The opposite coordinates
13. What type of slope do you have when a line rises from left to right and m>0?
2nd key - x^2 - graph
Same
Postiive slope
Y=IxI
14. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Identity
[0 -+infinity)
Because the demintor of a quotient can never equal zero
15. What is the domain of the cube root function?
Perpendicular line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal
(-infinity - +infinity)
16. x^2+y=4 is this a function? Why?
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on line
183
17. 4x+5x=8x is what type of an equation?
F(x) = x
Conditional
Y=IxI
Yes - all the domains points to one range
18. standard absolute value - horizontal shift formulas for left and right
Absolute Value - Constant and Standard Quadratic
Mirror image neg quadrant to that of the positive quandrant
X = the original sale price and the formula is x - .40x =$276
F(x+c) and f(x-c)
19. y=f(cx) - What does this formula represent?
Cannot be drawn in quizlet
Inconsistant
C>1 - horizontal shrinking
F(x2)-f(x1) / x2-x1
20. What is the formula for to calculate the difference of a quotient function?
Y
F(x+h)-f(x)/h h cannot equal zero
F(x^1)=f(x^2)
F(x)=+c and f(x)-c
21. Which direction does f(x+c) move
[0 -+infinity)
Any set of ordered pairs
Horizontal left
Line ascending to the right gradually
22. What is the vertex?
2nd key - x^2 - graph
The minimum or maximum points
Yes because two x's or domains can point to one y
Only one
23. What is the range for an absolute value function?
The first set of components of an ordered pair
The opposite coordinates
4 -6 -9
(-infinity - 0]you[0 - +infinity)
24. What direction does f(x)-c move in standard absolute value formula?
Y= then enter the number then press graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
Down
Horizontal
25. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Undefined
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
26. What is the range of the cube root function?
X math 3 graph
(-infinity - +infinity)
Horizontal left
Parabola
27. What is the domain of a square root function?
C>1 - horizontal shrinking
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
The secant line
[0 -+infinity)
28. What does linear equation mean?
Even
Horizontal
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
29. What type of slope do vertical lines have?
Undefined
Postiive slope
Y=IxI
Inconsistant
30. What is the range of an identity function?
(-infinity - +infinity)
Y=x^2 - graph
Parabola - up one and right three
In a quotient
31. Is a standard quadratic function even - odd or neither?
Parabola - up one and right three
Y=x - identity function
Even
In a quotient
32. A flat line underlining one vertical line is a symbol for...
Mirror image neg quadrant to that of the positive quandrant
Equation of a line
Set the x and y to zero and get the intercepts and then plot the points
Perpendicular line
33. What is a constant function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
F(x^1)=f(x^2)
Perpendicular line
34. What is the formula for the square root function?
F(x)=suare root of x
Undefined slope
Any set of ordered pairs
(-infinity - +infinity)
35. What is the range of the cube root function?
Only one
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal left
36. standard absolute value - horizontal shift formulas for left and right
Horizontal right
F(x+c) and f(x-c)
Same
Function notation
37. What is the domain for a standard quadratic function?
Y=b
(-infinity - +infinity)
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x
38. Is an absolute value function even - odd or neither?
Any set of ordered pairs
When does a graph not define y as a function of x?
Even
F(x^1)=f(x^2)
39. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Equation of a line
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph
Any set of ordered pairs
40. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Even
X = the original sale price and the formula is x - .40x =$276
As many as you like
20+.05x=5+.10x x=minutes
41. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Postiive slope
Conditional
Even
42. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
A line passing through two distinct points
Perpendicular line
Parabola - up one and right three
43. Which direction does f(x-c) move
X is the hours to repair the boat. $1603-532=anwser/63 = x
Inconsitent
C>1 - horizontal shrinking
Horizontal right
44. What points do you use to plot the inverse on a graph?
Piecewise
The opposite coordinates
1 -2 -3
0<c<1 - horizontal stretching
45. In an identity function if f(10)=x than What is y?
Approach neg toward x through zero and above positive close to x
Y=10
Horizontal left
Y=x^2 - graph
46. What is the vertical line formula?
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X=a
47. What is the vertical line test?
F(x)=+c and f(x)-c
C>1 - horizontal shrinking
Identity
When does a graph not define y as a function of x?
48. What is the domain for the standard cubic function?
(-infinity - +infinity)
The second set of components of an ordered pair
Parabola - up one and right three
Negative inverse
49. What is the formula for an absolute value function?
Square Root
A line passing through two distinct points
F(x)=IxI
Up
50. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The opposite coordinates
F(x)=IxI
Negative inverse
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