The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.
<h3>What is the graph of a function?</h3>The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.
The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.
From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.
Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.
Learn more about the graph of a function here:
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Answer:
The height of the density function is
Step-by-step explanation:
Given : A random variable X follows the continuous uniform distribution with a lower bound of −4 and an upper bound of 18.
To find : What is the height of the density function f(x)?
Solution :
According to question,
The height of the density function is given by,
Where, a is the lower bound a=-4
b is the upper bound b=18
Substitute the value in the formula,
Therefore, The height of the density function is