A horizontal S-shaped curve is plotted on a coordinate plane with the x-axis ranging from negative 5 to 5 and the y-axis ranging from negative 13 to 5 in unit increments.
What is the x-value of the relative maximum on the graph of f(x)
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(1 point)
x=
Since the curve is horizontal and shaped like an "S", the relative maximum would occur at the highest point on the curve. Looking at the given range of the x-axis from -5 to 5, we can see that the highest point on the curve would occur at x=0, which is the midpoint of the x-axis.
Therefore, the x-value of the relative maximum on the graph of f(x) is x=0.
To find the x-value of the relative maximum on the graph of f(x), we need to determine the highest point on the curve within the given range.
In this case, since the curve is a horizontal S-shaped curve, we know that the highest point will be the midpoint of the S-shape.
Since the x-axis ranges from -5 to 5 in unit increments, the midpoint will be at x = 0.
Therefore, the x-value of the relative maximum on the graph of f(x) is x = 0.
To find the x-value of the relative maximum on the graph of f(x), we need to locate the highest point on the curve.
1. Look for the highest point on the graph. This point will lie on the curve and have the greatest y-value.
2. Trace along the graph from left to right and identify any point where the curve changes from increasing to decreasing. This is an indication of a possible maximum point.
3. Once you've identified a potential maximum point, check the points around it to make sure it is the highest point on the curve.
In this case, since the curve is horizontal and S-shaped, it is likely that there will be two relative maximum points on opposite sides of the graph.
To determine the x-value of the relative maximum, you can use the following steps:
1. Start by examining the points on the graph where the curve changes direction. These points are known as critical points.
2. At these critical points, find the x-values and determine whether they correspond to local maxima or minima. To do this, look at the y-values on either side of the critical points.
3. Finally, compare all the local maxima values to find the highest one. This will give you the x-value of the relative maximum.
By following these steps, you should be able to determine the x-value of the relative maximum on the graph of f(x).