Which graph represents a function that has the domain (–∞, –3) ⋃ (–3, 4) ⋃ (4, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?




The required graph of the function is shown below.
"It is set of input values which which makes the function true."
"It is the point at which the graph of the function intersects the y-axis."
"A function is said to be increasing if the value of f(x) is increasing on increasing the value of x."
"It is the set of all points in the plane of the form (x, f(x))"
For given question,
We need to select the graph of a function that has the domain (–∞, –3) ⋃ (–3, 4) ⋃ (4, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4).
If we observe the following graph of a function,
it has the domain (–∞, –3) ⋃ (–3, 4) ⋃ (4, ∞)
Also, the graph intersects the y-axis at (0, 3)
This means, it has a y-intercept at (0, 3),
And is increasing on the interval (0, 4).
Therefore, the required graph of the function is shown below.
Learn more about the graph of the function here:
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