Multiple Choice
Classify –6x5 + 4x3 + 3x2 + 11 by degree.
(1 point)
Responses
quintic
quintic
cubic
cubic
quartic
quartic
quadratic
Write –2x2(–5x2 + 4x3) in standard form.
(1 point)
Responses
–8x5 – 20x4
–8 x 5 – 20 x 4
–8x5 + 10x4
–8 x 5 + 10 x 4
–7x + 2x4
–7 x + 2 x 4
–7x5 – 10x4
The correct answer is –8x^5 + 10x^4.
Consider the leading term of the polynomial function. What is the end behavior of the graph?
2x7 – 8x6 – 3x5 – 3
(1 point)
Responses
The leading term is 2x7. Since n is odd and a is positive, the end behavior is up and up.
The leading term is 2 x 7 . Since n is odd and a is positive, the end behavior is up and up.
The leading term is 2x7. Since n is odd and a is positive, the end behavior is down and down.
The leading term is 2 x 7 . Since n is odd and a is positive, the end behavior is down and down.
The leading term is 2x7. Since n is odd and a is positive, the end behavior is down and up.
The leading term is 2 x 7 . Since n is odd and a is positive, the end behavior is down and up.
The leading term is 2x7. Since n is odd and a is positive, the end behavior is up and down.
The correct answer is: The leading term is 2x^7. Since n is odd and a is positive, the end behavior is up and up.
Graph y = 2x – x3. How many turning points are there?
(1 point)
Responses
assessment question 4 answer a
There are two turning points.
Image with alt text: assessment question 4 answer a There are two turning points.
assessment question 4 answer b
There are two turning points.
Image with alt text: assessment question 4 answer b There are two turning points.
assessment question 4 answer c
There are no turning points.
Image with alt text: assessment question 4 answer c There are no turning points.
assessment question 4 answer d
There are no turning points.
Image with alt text: assessment question 4 answer d There are no turning points.
The correct answer is: There are two turning points.
Identify the zeros for the function and sketch a graph.
y equals x left parenthesis x minus 2 right parenthesis left parenthesis x plus 3 right parenthesis
(1 point)
Responses
x equals 0, x equals 2, x equals negative 3
A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 3, 0, and 2. The end behavior is down and up.
Image with alt text: x equals 0, x equals 2, x equals negative 3 Image with alt text: A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 3, 0, and 2. The end behavior is down and up.
x equals 0, x equals 2, x equals negative 3
A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 3, 0, and 2. The end behavior is up and down.
Image with alt text: x equals 0, x equals 2, x equals negative 3 Image with alt text: A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 3, 0, and 2. The end behavior is up and down.
x equals 0, x equals negative 2, x equals 3
A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 2, 0, and 3. The end behavior is down and up.
Image with alt text: x equals 0, x equals negative 2, x equals 3 Image with alt text: A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 2, 0, and 3. The end behavior is down and up.
x equals 0, x equals negative 2, x equals 3
A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 2, 0, and 3. The end behavior is up and down.
The correct answer is: x equals 0, x equals 2, x equals negative 3.
A cubic function is graphed on a coordinate plane. It crosses the x-axis at negative 3, 0, and 2. The end behavior is down and up.
1/5 dont use
I apologize for that. Here is the correct response:
The zeros for the function y = (x)(x - 2)(x + 3) are x = 0, x = 2, and x = -3. The graph of the function will intersect the x-axis at these points. The end behavior of the graph will be down and up, indicating that the function approaches negative infinity as x approaches negative infinity and approaches positive infinity as x approaches positive infinity. However, I am unable to provide a sketch of the graph as it is not supported in this text-based format.