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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 can we substitute for f(x)?
(-infinity - +infinity)
F(x+c) and f(x-c)
Undefined
Y
2. What is the range of the cube root function?
Postiive slope
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x+c) and f(x-c)
3. What is a constant function?
F(x^1)=f(x^2)
As many as you like
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
Conditional
4. How are functions normally written?
As equations
F(x) = x
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
5. y=f(cx) What does this formula represent?
X math 3 graph
0<c<1 - horizontal stretching
Square Root
2nd key - x^2 - graph
6. What type of line is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
As equations
Piecewise
45 degree angle
7. Which direction does f(x-c) move
Piecewise
Yes because two x's or domains can point to one y
Horizontal right
M
8. x=no real numbers is what type of an equation?
Inconsistant
Y=10
Change in y / change in x = rise / run = y2-y1 / x2-x1
Up
9. 4x+5x=8x is what type of an equation?
Even
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
Conditional
10. What can never equal zero in the slope formula and why?
F(x)=suare root of x
Y=10
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
11. What type of slope do you have when m=? and the line is vertical?
The slope of a line containing two points
F(x)=3 square root x
Undefined slope
Line ascending to the right gradually
12. What are the algebra of functions?
Undefined slope
F(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
13. What is the standard quadratic function?
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
X^2
Because the demintor of a quotient can never equal zero
Line ascending to the right gradually
14. Two vertical lines side by side are a symbol for what
Parraelle line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
15. Draw or discuss an increasing function
A line passing through two distinct points
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x^1)=f(x^2)
16. What is the average rate of change formula?
F(x+c) and f(x-c)
4 -6 -9
(-infinity - 0]you[0 - +infinity)
F(x2)-f(x1) / x2-x1
17. x^2+y=4 is this a function? Why?
18. What is the range for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
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
(-infinity - +infinity)
A V
19. What is the vertical line test?
4 -6 -9
2nd key - x^2 - graph
When does a graph not define y as a function of x?
Yes because two x's or domains can point to one y
20. Is an absolute value function even - odd or neither?
Even
Function notation
Equation of a line
Negative inverse
21. What does the square root function look like on a graph?
Line ascending to the right gradually
C>1 - horizontal shrinking
The opposite coordinates
Square Root
22. What points do you use to plot the inverse on a graph?
Conditional
The opposite coordinates
Parabola
F(x)=+c and f(x)-c
23. standard absolute value - vertical shift formulas for positve and negative
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=+c and f(x)-c
Math 4 x - 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
24. y^2+x=4 is this a function? Why?
25. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
Odd
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
26. What is the vertical line formula?
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
X=a
0<c<1 - horizontal stretching
27. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
X = the original sale price and the formula is x - .40x =$276
F(x^1)=f(x^2)
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.
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
28. What is the range of the cube root function?
(-infinity - +infinity)
Zero slope
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.
Parabola
29. What is the formula for to calculate the difference of a quotient function?
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^1)=f(x^2)
X = the original sale price and the formula is x - .40x =$276
F(x+h)-f(x)/h h cannot equal zero
30. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
(-infinity - +infinity)
X math 3 graph
Zero slope
31. What equation does every line have? Discuss the variables.
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.
[0 -+infinity)
Up
F(x2)-f(x1) / x2-x1
32. Which direction does f(x)=+c move in standard absolute value formula?
Up
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The minimum or maximum points
Because the demintor of a quotient can never equal zero
33. Of the seven of algebra's common graph's how many are neither?
Square Root
Only one
X=a
Y=x - identity function
34. What is the slope of a perpendicular line?
Y=10
Negative inverse
M
F(x)=3 square root x
35. What is an identity function?
Undefined
Horizontal right
Inconsitent
45 degree angle
36. What type of function would you use to calculate the most advantageous cell phone plan?
Horizontal left
Even
Y=x^2 - graph
Piecewise
37. Two vertical lines side by side are a symbol for what
X^2
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
Down
Parraelle line
38. What points do you use to plot the inverse on a graph?
X math 3 graph
Y=IxI
The opposite coordinates
(-infinity - +infinity)
39. Is an identity function even - odd or neither?
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Odd
(-infinity - +infinity)
40. standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
F(x+c) and f(x-c)
Mirror image neg quadrant to that of the positive quandrant
Identity
41. Is a constant function even - odd or neither?
Up
F(x)=IxI
Parabola - up one and right three
Even
42. What are the four steps for solving a linear equation?
Conditional
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.
The opposite coordinates
2nd catalog (zero key -) abs(x) - graph
43. Of the seven of algebra's common graph's how many are neither?
Same
0<c<1 - horizontal stretching
(-infinity - 0]you[0 - +infinity)
Square Root
44. What equation does every line have? Discuss the variables.
Square Root
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
(-infinity - +infinity)
45. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
2nd key - x^2 - graph
Y=b
Zero slope
46. What is the formula for the standard cubic function?
4 -6 -9
X2-x1 because the demonaitor of a quotient can never equal zero
F(x)=x^3
(-infinity - +infinity)
47. What type of line is a constant function?
Mirror image neg quadrant to that of the positive quandrant
Yes because two x's or domains can point to one y
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
48. What is the formula in both horizontal stretching and horizontal shrinking?
2nd catalog (zero key -) abs(x) - graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Parraelle line
(-infinity - +infinity)
49. Draw or discuss a decreasing function
Cannot be drawn in quizlet
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
F(x)=3 square root x
50. x= a real number is what type of equation?
F(x+h)-f(x)/h h cannot equal zero
Conditional
Y=x - identity function
Identity