Answer: 1c, 2d, 3a, 4b, 5e, 6f
Explanation:
We will break the features of the polynomial graph up into the different answer options.
[1] x-intercepts
The x-intercepts are the coordinate points where the graph intersects the x-axis. These are the points at which y = 0. We can see here, the graph intersects the x-axis at -5, 1, and 3. This leads us to know that the answer to 1 is c.
[2] local minimum
This asks us to find the minimum in the given local graph. Here, that is the lowest given point on the graph. Here, that is about (-2.5, -5), giving us answer option d, (-2.7, -4.9).
[3] y-intercept
The y-intercept is where the graph intercepts the y-axis or when x = 0. Here, that is (0, -1.5) leading us to know that the answer to 3 is a.
[4] local maximum
This is similar to the local minimum, #2, except it's for the maximum. Here the local maximum is about (2, 1). This leads us to the exact answer, option b (2.1, 0.7).
[5] end behavior as the graph approaches positive infinity
This asks us what direction the end of the graph is going on the right side. Here, that is down. This is also described as "negative infinity," which is answer option e.
[6] end behavior as the graph approaches negative infinity
This asks us which direction the end of the graph is going on the left side. Here, that is up. This is also described as "positive infinity," which is answer option f.