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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 are the calculator instructions for the cube root function?
Yes - all the domains points to one range
Only one
Math 4 x - graph
Y=10
2. What does the square root function look like on a 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
Y=x^2 - graph
Conditional
Line ascending to the right gradually
3. What is the domain for an absolute value function?
Y=10
Horizontal left
(-infinity - +infinity)
1 -2 -3
4. 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
Neither
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.
F(x) = x
5. What is the formula for to calculate the difference of a quotient function?
Y=10
F(x+h)-f(x)/h h cannot equal zero
Odd
(-infinity - 0]you[0 - +infinity)
6. Is a standard quadratic function even - odd or neither?
Undefined
(-infinity - +infinity)
Horizontal
Even
7. What is the range of the constant function?
[0 -+infinity)
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
The single number y=
8. What is the domain for the standard cubic function?
The minimum or maximum points
(-infinity - +infinity)
Math 4 x - graph
Parabola - up one and right three
9. What is an identity function?
C>1 - horizontal shrinking
45 degree angle
F(x2)-f(x1) / x2-x1
Identity
10. Draw or discuss a decreasing function
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Perpendicular line
11. What is the range for a standard quadratic function?
X^2
Yes because two x's or domains can point to one y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]you[0 - +infinity)
12. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Function notation
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
The opposite coordinates
13. 4x+5x=8x is what type of an equation?
Conditional
Because the demintor of a quotient can never equal zero
Parabola
45 degree angle
14. Is the standard cubic function odd - even or neither?
Odd
When does a graph not define y as a function of x?
The secant line
The secant line
15. x= a real number is what type of equation?
Undefined slope
F(x) = x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
16. What are two examples of composit functions?
F(x^1)=f(x^2)
F of g and g of f
Piecewise
(-infinity - 0]you[0 - +infinity)
17. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Conditional
F(x)=suare root of x
2nd key - x^2 - graph
18. What is the domain for an absolute value function?
Parabola - up one and right three
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(x2)-f(x1) / x2-x1
(-infinity - +infinity)
19. 4x+5x=8x is what type of an equation?
45 degree angle
Any set of ordered pairs
Conditional
Horizontal left
20. What is the range of a square root function?
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
F(x)=IxI
Parraelle line
21. What is slope?
M
Odd
Y= then enter the number then press graph
A line passing through two distinct points
22. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Zero slope
C>1 - horizontal shrinking
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
In a quotient
23. What does the standard cubic function look like on a graph?
Parraelle line
Mirror image neg quadrant to that of the positive quandrant
Y=b
Because the demintor of a quotient can never equal zero
24. y^2+x=4 is this a function? Why?
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183
25. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
Yes - all the domains points to one range
As equations
Odd
26. What is the domain of a square root function?
Postiive slope
The second set of components of an ordered pair
[0 -+infinity)
Identity
27. How many ranges can you have for each domain?
Postiive slope
F(x+c) and f(x-c)
X2-x1 because the demonaitor of a quotient can never equal zero
Only one
28. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Even
[0 -+infinity)
29. x^2+y=4 is this a function? Why?
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on line
183
30. How many domains can you have pointing to one range?
4 -6 -9
2nd catalog (zero key -) abs(x) - graph
As many as you like
(-infinity - 0]you[0 - +infinity)
31. What type of line is an identity function?
Yes - all the domains points to one range
45 degree angle
Horizontal right
When does a graph not define y as a function of x?
32. A flat line underlining one vertical line is a symbol for...
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
Perpendicular line
As many as you like
The first set of components of an ordered pair
33. y=f(cx) What does this formula represent?
X2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3
0<c<1 - horizontal stretching
Y= then enter the number then press graph
34. What is the formula for an absolute value function?
F(x)=IxI
Negative slope
Because the demintor of a quotient can never equal zero
Inconsistant
35. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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 of g and g of f
As many as you like
36. Is an identity function even - odd or neither?
A line passing through two distinct points
Odd
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Any set of ordered pairs
37. What shape is the standard quadratic function?
Parabola
[0 -+infinity)
Down
F of g and g of f
38. What is the formula for the cube root function?
Conditional
Cannot be drawn in quizlet
4 -6 -9
F(x)=3 square root x
39. What is the domain of an identity function?
Y= then enter the number then press graph
Cannot be drawn in quizlet
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
40. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y=x - identity function
Odd
4 -6 -9
(-infinity - +infinity)
41. What is the formula for an identity function?
F(x) = x
X=a
Undefined slope
F(x)=3 square root x
42. What does the graph of the cube root function look like on the graph?
Horizontal left
F(x+c) and f(x-c)
Parraelle line
Approach neg toward x through zero and above positive close to x
43. x=all real numbers is what type of an equation?
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
Identity
F(x)=suare root of x
The secant line
44. What is another way to write f(x)=x - what type of function is this?
Line ascending to the right gradually
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)
Y=x - identity function
45. f(x) = x^2+3x+5 - what type of formula is this?
Perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
Function notation
(-infinity - +infinity)
46. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Zero slope
X2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates
47. What does the average rate of change formula solve?
The slope of a line containing two points
The second set of components of an ordered pair
Equation of a line
Line ascending to the right gradually
48. When is the only time (-infinity - +infinity) is not the domain?
F of g and g of f
Y
In a quotient
F(x^1)=f(x^2)
49. What type of slope do you have when the line is horizontal and m=0?
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
F(x+h)-f(x)/h h cannot equal zero
Zero slope
The single number y=
50. Draw or discuss an increasing function
Cannot be drawn in quizlet
Y=x - identity function
Y=x^2 - graph
Odd