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.(1 point)
1. Image to Text%0D%0Ax%0D%0Ay%0D%0AThe numbers along the x-axis range from -8 to 8.%0D%0AThe numbers along the y-axis range from -8 to 8.%0D%0ATwo arrows, one pointing in the direction of the positive x-axis and the other in the direction of the positive y-axis.%0D%0ASummary%0D%0AThe image depicts a Cartesian coordinate system with both x and y-axes ranging from -8 to 8. A straight line passing through the origin (0,0) extends in the positive direction of both axes. The line has a positive slope indicating a direct proportional relationship between x and y variables. This graph could represent a simple linear function, such as y = x, where y increases by the same amount as x.
2. Image to Text
x
y
Summary
The image contains a graph with a Cartesian coordinate system. The axes are labeled ‘x’ for the horizontal axis and ‘y’ for the vertical axis. Both axes range from -8 to +8. There is a straight line with a negative slope that passes through the origin (0,0), indicating a linear relationship between x and y. The line implies that as x increases, y decreases at a constant rate, and vice versa. The exact numerical slope of the line cannot be determined from the image without additional information.
3. Image to Text
The image does not contain any extractable text. It is a graph with a Cartesian coordinate system showing axes labeled as ‘x’ and ‘y’. The graph features a straight line that starts from the origin (0,0) and moves upwards diagonally to the right.
Summary
The image depicts a graph with a positively sloped straight line, indicating a linear relationship between the x and y variables. The line passes through the origin, suggesting that the y-intercept is 0, and the slope is positive, meaning as x increases, y also increases at a constant rate. The axes are marked with numbers ranging from -8 to 8. This type of graph typically represents a simple linear equation of the form y = mx, where m is the slope.
4. Image to Text
The image shows a Cartesian coordinate system with both x and y-axes ranging from -8 to 8. An orange line is drawn through the origin, extending from the bottom left corner of the grid to the top right corner. There are arrowheads on both axes, and on the end of the line, indicating positive direction. The axes are labeled ‘x’ for the horizontal axis and ‘y’ for the vertical axis.
Summary
The image depicts a straight line graph in a Cartesian coordinate plane. The line has a positive slope and passes through the origin (0,0), which suggests it represents a linear equation with a slope of 1 and a y-intercept of 0, indicating the equation y = x. The line is in the first and third quadrants, showing that as x increases, y increases at the same rate, and vice versa.
1 answer