An M-shaped curve is plotted on a coordinate plane with the x-axis ranging from negative 4 to 4 in increments of 0.5 and the y-axis ranging from negative 4 to 4 in increments of 0.5.
What is the y-value of the absolute maximum on the graph of h(x)
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(1 point)
y=
Without knowing the actual function h(x) that plots the M-shaped curve, it is not possible to determine the y-value of the absolute maximum.
To determine the y-value of the absolute maximum on the graph of h(x), we need to find the highest point on the graph.
The M-shaped curve is symmetric with respect to the y-axis, so we only need to find the maximum value on one side of the graph.
Starting from the leftmost point of the graph, we can observe that as x increases, the y-values first increase, then reach a peak, and finally decrease. Therefore, the maximum value occurs at the peak of the curve.
Looking at the graph within the given x-axis range of -4 to 4, we can see that the peak occurs at x = 0. At this point, the curve reaches its highest value.
Now, we need to determine the corresponding y-value at x = 0. From the information provided, it is not explicitly mentioned what the equation or function h(x) represents. Without additional information or details about h(x), we cannot determine the specific y-value at x = 0 or the absolute maximum.
To determine the specific y-value, we would need more information, such as the equation of the curve or additional data points.
To find the y-value of the absolute maximum on the graph of h(x), we need to analyze the given M-shaped curve on the coordinate plane.
First, let's define what we mean by the absolute maximum. The absolute maximum refers to the highest point on the graph, or the greatest y-value.
To find the absolute maximum, we need to examine the y-values of all the points on the graph of h(x) and determine which one is the highest.
Given that the x-axis ranges from -4 to 4 in increments of 0.5 and the y-axis ranges from -4 to 4 in increments of 0.5, we can start by plotting the points on the graph.
To do this, we'll start at x = -4 and calculate the corresponding y-values for h(x) at each increment of 0.5 until x = 4. We'll look for the highest y-value among these points to determine the absolute maximum.
Let's calculate the y-values for h(x) by substituting the x-values into the equation for h(x) (which is not given in the question):
x = -4: h(-4) = ?
x = -3.5: h(-3.5) = ?
x = -3: h(-3) = ?
x = -2.5: h(-2.5) = ?
x = -2: h(-2) = ?
x = -1.5: h(-1.5) = ?
x = -1: h(-1) = ?
x = -0.5: h(-0.5) = ?
x = 0: h(0) = ?
x = 0.5: h(0.5) = ?
x = 1: h(1) = ?
x = 1.5: h(1.5) = ?
x = 2: h(2) = ?
x = 2.5: h(2.5) = ?
x = 3: h(3) = ?
x = 3.5: h(3.5) = ?
x = 4: h(4) = ?
By calculating the respective y-values for each x-value, we can determine the highest y-value. This value will be the y-value of the absolute maximum on the graph of h(x).