Mathematics, 03.03.2020 04:20 culturedxnat
1.
Determine whether the graph is the graph of a function. (1 point)
A coordinate axis is drawn with an exponential curve crossing the y axis at one increasing towards infinity.
Yes
No
2.
Determine the domain of the function. (1 point)
f as a function of x is equal to four divided by x squared.
x ≥ 0
All real numbers except 0
All real numbers except 3
All real numbers
3.
Find the range of the function.
f(x) = (x - 2)2 + 2 (1 point)
All real numbers
y ≥ 0
y < 2
y ≥ 2
4.
Determine the domain of the function. (1 point)
f as a function of x is equal to the square root of seven plus x.
x ≥ 0
All real numbers
x ≥ -7
x > 0
5.
Determine the intervals on which the function is increasing, decreasing, and constant. (1 point)
A cube root graph is shown crossing the y axis at -5.
Increasing on x < 0; Decreasing on x > 0
Increasing on x > 0; Decreasing on x < 0
Increasing on all real numbers
Decreasing on all real numbers
6.
Estimate graphically the local maximum and local minimum of f(x) = 4x2 + 3x + 2. (1 point)
Local maximum: (-0.4,1.44); local minimum: (0,-0.37)
Local maximum: (-0.4,1.44); no local minimum
No local maximum; local minimum: (-0.4,1.44)
No local maximum; local minimum: (0,-0.37)
7.
Determine if the following function is even, odd, or neither.
f(x) = -9x4 + 5x + 3 (1 point)
Odd
Even
Neither
8.
f(x) = 3x + 6, g(x) = 2x2
Find (fg)(x). (1 point)
2x2 + 3x + 6
6x + 12
6x2 + 12x
6x3 + 12x2
9.
f(x) = Square root of quantity three x plus seven. , g(x) = Square root of quantity three x minus seven.
Find (f + g)(x). (1 point)
Square root of six x.
x Square root of six.
3x
Square root of quantity three x plus seven. + Square root of quantity three x minus seven.
10.
f(x) = x2 + 3; g(x) = Square root of quantity x minus two.
Find f(g(x)). (1 point)
f(g(x)) = (x2 + 3)( Square root of quantity x minus two. )
f(g(x)) = Square root of quantity x minus two divided by quantity x squared plus three.
f(g(x)) = x + 1
f(g(x)) = Square root of quantity x squared plus three.
11.
Find f(x) and g(x) so that the function can be described as y = f(g(x)). (1 point)
y = Four divided by x squared. + 9
f(x) = x + 9, g(x) = Four divided by x squared.
f(x) = x, g(x) = Four divided by x. + 9
f(x) = One divided by x. , g(x) = Four divided by x. + 9
f(x) = Four divided by x squared. , g(x) = 9
12.
Find the inverse of the function.
f(x) = 3x - 2 (1 point)
f-1(x) = Quantity x plus two divided by three.
f-1(x) = x divided by three + 2
f-1(x) = Quantity x minus two divided by three.
Not a one-to-one function
13.
Find the inverse of the function.
f(x) = x3 + 4 (1 point)
f-1(x) = -4 Cube root of x.
f-1(x) = Cube root of quantity x minus four.
f-1(x) = Cube root of quantity x plus four.
Not a one-to-one function
14.
Find the inverse of the function.
f(x) = 6x3 - 3 (1 point)
f-1(x) = Cube root of quantity x minus three divided by six.
f-1(x) = Cube root of quantity x plus three divided by six.
f-1(x) = Cube root of quantity x divided by six. + 3
Not a one-to-one function
15.
Determine if the function is one-to-one. (1 point)
A graph is shown of two curves increasing connecting at the point 0, 1.
Yes
No
16.
Describe how the graph of y= x2 can be transformed to the graph of the given equation. (1 point)
y = x2 - 14
Shift the graph of y = x2 right 14 units.
Shift the graph of y = x2 up 14 units.
Shift the graph of y = x2 left 14 units.
Shift the graph of y = x2 down 14 units.
17.
Describe how the graph of y= x2 can be transformed to the graph of the given equation. (1 point)
y = (x-14)2 - 9
Shift the graph of y = x2 down 14 units and then left 9 units.
Shift the graph of y = x2 right 14 units and then up 9 units.
Shift the graph of y = x2 right 14 units and then down 9 units.
Shift the graph of y = x2 left 14 units and then down 9 units.
18.
Describe how to transform the graph of f into the graph of g. (1 point)
f(x) = x4 and g(x) = -x4
Reflect the graph of f across the x-axis.
Shift the graph of f down 1 unit.
Reflect the graph of f across the x-axis and then reflect across the y-axis.
Reflect the graph of f across the y-axis.
19.
The transformation from f to g represents a
stretch. (1 point)
f(x) = Square root of x. and g(x) = 6 Square root of x.
Note: Use all lowercase letters in your response.
20.
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.(1 point)
f(x) = x3 + 4 and g(x) = Cube root of quantity x minus four.
HEL PLEASE GIVING ALL MY POINTS TO WHOEVER HELPS FIRST
Answers: 3
Mathematics, 21.06.2019 14:30, stupidjew5496
Two rigid transformations are used to map abc to qrs. the first is a translation of vertex b to vertex r. what is the second transformation? a reflection across the line containing ab a rotation about point b a reflection across the line containing cb a rotation about point c
Answers: 2
Mathematics, 21.06.2019 18:00, kellysmith45
The chs baseball team was on the field and the batter popped the ball up. the equation b(t)=80t-16•16+3.5 represents the height of the ball above the ground in feet as a function of time in seconds. how long will the catcher have to get in position to catch the ball before it hits the ground? round to the nearest second
Answers: 3
Mathematics, 21.06.2019 18:30, 2024daisjavien
For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.
Answers: 1
1.
Determine whether the graph is the graph of a function. (1 point)
A coordinate axis i...
Determine whether the graph is the graph of a function. (1 point)
A coordinate axis i...
Mathematics, 08.12.2021 03:10
Mathematics, 08.12.2021 03:10
Mathematics, 08.12.2021 03:10
English, 08.12.2021 03:10
Mathematics, 08.12.2021 03:10