The polynomial function f, left bracket, x, right bracketf(x) is graphed below. Fill in the form below regarding the features of this graph.
x
y
Answer
Attempt 1 out of 2
The degree of f(x) is
and the leading coefficient is
. There are
distinct real zeros and
relative minimum values.
The degree of f(x) is
3 and the leading coefficient is
positive. There are
2 distinct real zeros and
no relative minimum values.
To determine the features of the graph, we can observe the given graph.
Please describe the graph or provide a visual representation of the graph so that I can assist you further.
To determine the degree of the polynomial function f(x), we need to find the highest power of x in the expression. We can look at the highest and lowest points of the graph to determine the behavior of the function as x approaches positive and negative infinity.
To calculate the degree, we identify the highest power of x in the polynomial. The coefficient of this term is the leading coefficient.
To find the number of distinct real zeros, we count the number of times the graph intersects the x-axis. Each intersection corresponds to a distinct real zero.
To determine the number of relative minimum values, we need to examine the concavity of the graph. A relative minimum occurs where the graph changes from decreasing to increasing. This corresponds to a change in concavity from concave down to concave up.
Please provide more information or a graph of the function f(x) to help determine the features accurately.