Question

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


A, B, C, or D?

EDIT: The answer is C. I guessed right.

Answer 1

The answer to this question is C.

Answer 2

The y-intercept of a graph is the point, where the graph crosses the y-axis.

The graph with the given details is graph (c)

The given parameters are:

$\mathbf{Domain = (-\infty,4)\ u\ (-4,3)\ u\ (3,\infty)}$

$\mathbf{y-intercept = (0,3)}$

$\mathbf{Increasing\ interval = (0,4)}$

From the list of given options. graph (d) has a y intercept of 2, because it crossed the y-axis at y = 2.

So, graph (d) cannot be the required graph

Graph (a) has a domain of: $\mathbf{(-\infty,5),,,,,}$

So, graph (a) cannot be the required graph

The domain of graph (b) is [-3,3]

So, graph (b) cannot be the required graph

Hence, the required graph is graph (c)

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