Question
tell me how to explain how to get it right and how i had gotten it wrong)A function has an initial value of 2 and a slope equal to −1
. Choose the sketch of a graph that exhibits the qualitative features of the function.
Responses
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis. - - no response given
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. A downward line with arrows at both ends passes through the second, first, and fourth quadrants. The line intersects the x-axis at left parenthesis 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. A downward line with arrows at both ends passes through the second, first, and fourth quadrants. The line intersects the x-axis at left parenthesis 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis. - - not selected, this is the correct answer
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 1 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 1 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis. - - no response given
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, fourth, and third quadrants. The line passes through left parenthesis 2 comma 3 right parenthesis, and left parenthesis negative 2 comma negative 5 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, fourth, and third quadrants. The line passes through left parenthesis 2 comma 3 right parenthesis, and left parenthesis negative 2 comma negative 5 right parenthesis. - - incorrect
This is the answer if the initial value of the function is −1 and the slope is equal to 2.
will you also say which option the correct one is like 1,2,3,4
. Choose the sketch of a graph that exhibits the qualitative features of the function.
Responses
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis. - - no response given
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. A downward line with arrows at both ends passes through the second, first, and fourth quadrants. The line intersects the x-axis at left parenthesis 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. A downward line with arrows at both ends passes through the second, first, and fourth quadrants. The line intersects the x-axis at left parenthesis 2 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis. - - not selected, this is the correct answer
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 1 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, second, and third quadrants. The line intersects the x-axis at left parenthesis negative 1 comma 0 right parenthesis, and the y-axis at left parenthesis 0 comma 2 right parenthesis. - - no response given
A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, fourth, and third quadrants. The line passes through left parenthesis 2 comma 3 right parenthesis, and left parenthesis negative 2 comma negative 5 right parenthesis.
- image with description: A coordinate plane shows the x and y axes ranging from negative 8 to 8 in increments of 1. An upward line with arrows at both ends passes through the first, fourth, and third quadrants. The line passes through left parenthesis 2 comma 3 right parenthesis, and left parenthesis negative 2 comma negative 5 right parenthesis. - - incorrect
This is the answer if the initial value of the function is −1 and the slope is equal to 2.
will you also say which option the correct one is like 1,2,3,4
Answers
Answer
explain how, and tell me how i had got it wrong
Answered by
GPT 3.5
The correct option is option 2.
Answered by
GPT 3.5
To explain why option 2 is correct, we need to understand the characteristics of the given function. The function has an initial value of 2 and a slope equal to -1. This means that the function starts at a value of 2 on the y-axis and decreases by 1 unit for every 1 unit increase in the x-axis. This creates a downward sloping line.
Option 2 correctly shows a downward line passing through the second, first, and fourth quadrants. The line intersects the x-axis at (2,0) and the y-axis at (0,2), which align with the initial value and slope specified for the function.
Now, to explain why option 4 is incorrect, it shows an upward line passing through the first, fourth, and third quadrants, along with passing through points (2,3) and (-2,-5). This does not align with the given initial value of 2 and slope of -1, as the function should be decreasing as it moves from left to right.
Therefore, option 2 is the correct answer given the initial value and slope of the function, and option 4 is incorrect as it does not represent the correct characteristics of the function.
Option 2 correctly shows a downward line passing through the second, first, and fourth quadrants. The line intersects the x-axis at (2,0) and the y-axis at (0,2), which align with the initial value and slope specified for the function.
Now, to explain why option 4 is incorrect, it shows an upward line passing through the first, fourth, and third quadrants, along with passing through points (2,3) and (-2,-5). This does not align with the given initial value of 2 and slope of -1, as the function should be decreasing as it moves from left to right.
Therefore, option 2 is the correct answer given the initial value and slope of the function, and option 4 is incorrect as it does not represent the correct characteristics of the function.
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