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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. Of the seven of algebra's common graph's how many are even?
The opposite coordinates
Even
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
2. What does the absolute value function look like?
A V
Parabola
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
Yes - all the domains points to one range
3. Why can h not equal zero in the difference of a quotient function formula?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y= then enter the number then press graph
4 -6 -9
Because the demintor of a quotient can never equal zero
4. Is a constant function even - odd or neither?
Odd
Even
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.
Change in y / change in x = rise / run = y2-y1 / x2-x1
5. What is another way to write f(x)=x - what type of function is this?
Identity
Y=x - identity function
(-infinity - +infinity)
Neither
6. What is slope?
A line passing through two distinct points
Horizontal
Negative slope
2nd catalog (zero key -) abs(x) - graph
7. What are the calculator instructions for absolute value?
(-infinity - 0]you[0 - +infinity)
4 -6 -9
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
8. What is the range of the constant function?
Piecewise
Piecewise
45 degree angle
The single number y=
9. Is the standard cubic function odd - even or neither?
Only one
X^2
Odd
Undefined
10. What is the domain of an identity function?
In a quotient
(-infinity - +infinity)
Square Root
The minimum or maximum points
11. standard absolute value - vertical shift formulas for positve and negative
F(x)=+c and f(x)-c
45 degree angle
F of g and g of f
No because you cannot have one domain pointing at two y's or ranges
12. What shape is the standard quadratic function?
(-infinity - +infinity)
Parabola
Equation of a line
(f+g) - (f-g) - (fg) - (f/g) all of x
13. What is the vertex?
F(x2)-f(x1) / x2-x1
The secant line
The minimum or maximum points
In a quotient
14. f(x) = x^2+3x+5 - what type of formula is this?
Neither
X=a
In a quotient
Function notation
15. How do you calculate a constant function in your calculator?
45 degree angle
Y= then enter the number then press graph
Identity
Even
16. What is the formula for the standard cubic function?
(-infinity - +infinity)
Piecewise
F(x)=x^3
(-infinity - +infinity)
17. What is the letter used to represent slope?
The first set of components of an ordered pair
Even
M
[0 -+infinity)
18. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
Math 4 x - graph
Zero slope
Even
19. Which direction does f(x+c) move
Parraelle line
The first set of components of an ordered pair
F(x)=+c and f(x)-c
Horizontal left
20. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
4 -6 -9
F of g and g of f
21. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
In a quotient
Only one
Y=10
22. What are the algebra of functions?
Horizontal
[0 -+infinity)
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
23. What type of slope do vertical lines have?
Undefined
(f+g) - (f-g) - (fg) - (f/g) all of x
Approach neg toward x through zero and above positive close to x
The secant line
24. Which direction does f(x-c) move
F(x+c) and f(x-c)
The second set of components of an ordered pair
Horizontal right
Yes - all the domains points to one range
25. What is the formula for an identity function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
F(x) = x
Parraelle line
26. What type of slope do you have when a line falls left to right and m<0?
45 degree angle
Y=b
Negative slope
Three odd - cube root - identity - standard cubic
27. What are the calculator instructions for the cube root function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Because the demintor of a quotient can never equal zero
Math 4 x - graph
The secant line
28. f(x) = x^2+3x+5 - what type of formula is this?
[0 -+infinity)
As many as you like
Function notation
(-infinity - +infinity)
29. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
Perpendicular line
4 -6 -9
The opposite coordinates
30. How are functions normally written?
As equations
1 -2 -3
Perpendicular line
Horizontal left
31. x=all real numbers is what type of an equation?
F(x^1)=f(x^2)
Cannot be drawn in quizlet
Line ascending to the right gradually
Identity
32. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x+c) and f(x-c)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
33. standard absolute value - vertical shift formulas for positve and negative
Y=10
Because the demintor of a quotient can never equal zero
Down
F(x)=+c and f(x)-c
34. Draw or discuss a constant function
Cannot be drawn in quizlet
Parabola - up one and right three
F(x) = x
Horizontal left
35. Which direction does f(x)=+c move in standard absolute value formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Up
F(x)=suare root of x
F of g and g of f
36. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional
F(x)=x^3
37. When is the only time (-infinity - +infinity) is not the domain?
Horizontal
The opposite coordinates
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
In a quotient
38. What is the range of the cube root function?
(-infinity - +infinity)
Cannot be drawn in quizlet
F(x^1)=f(x^2)
The minimum or maximum points
39. What is the range of a square root function?
Conditional
Neither
[0 -+infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
40. What is the range of the cube root function?
M
(-infinity - +infinity)
Even
F(x2)-f(x1) / x2-x1
41. What can never equal zero in the slope formula and why?
Negative inverse
Identity
Undefined
X2-x1 because the demonaitor of a quotient can never equal zero
42. What is the formula for the square root function?
F(x)=suare root of x
Identity
F(x2)-f(x1) / x2-x1
0<c<1 - horizontal stretching
43. What type of line is an identity function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
45 degree angle
Y=x^2 - graph
44. What is the domain of the cube root function?
Undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
C>1 - horizontal shrinking
45. y^2+x=4 is this a function? Why?
46. What points do you use to plot the inverse on a graph?
Odd
The opposite coordinates
Perpendicular line
Piecewise
47. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Neither
X = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
48. How many domains can you have pointing to one range?
Inconsistant
As many as you like
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
49. What is the slope intercept formula? Define all the variables.
Parabola - up one and right three
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Undefined slope
Same
50. Draw or discuss an increasing function
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
1 -2 -3
(-infinity - +infinity)