Concept explainers
To draw: the graph of given function

Answer to Problem 105E
There is no symmetry in the graph of function.
x- intercept: - (-1, 0), (3, 0), (4.5, 0). So, number of x-intercept is 3.
Explanation of Solution
Given information: given function is
Concept Used: -
Symmetry about x-axis: - A graph is symmetric about x-axis if (x, y) lies on graph than (x, -y) also lies on graph of function.
Symmetry about y-axis: - A graph is symmetric about y-axis if (x, y) lies on graph than (-x, y) also lies on graph of function.
Symmetry about origin: - A graph is symmetric about origin if (x, y) lies on graph than
(-x, -y) also lies on graph of function.
X-intercept: - The point , where graph of function cuts the x-axis.
Calculation:-
Now, using graph we check symmetries-
- About x-axis:- By using above definition, we marked a point (5, 14.4) on graph but (-5, 14.4) is not present on graph so curve is not symmetric about x-axis.
- About y-axis: - similarly, we can show function is not symmetric about y-axis.
- About origin: - similarly, (-5, -14.4) is not present on graph. So function is not symmetric about origin.
X-intercept: - using graph we can see graph of function cuts the x-axis at (-1, 0), (3, 0), (4.5, 0).
So, number of x-intercept is 3.
Chapter 2 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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