2 years ago

The graph of f(x) is shown. For what values of X does f(x)= 0

Mathematics

1 answer:

german2 years ago

4 0

Answer:

-3, -1, 1

Step-by-step explanation:

The values of x when f(x) = 0 are the points on the graph when the curve intercepts the x-axis.

From inspection of the graph, the curve intercepts the x-axis at

x = -3, x = -1 and x = 1

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Check the picture below.

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$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 4}}\quad ,&{{ 5}})\quad 
% (c,d)
D&({{ -3}}\quad ,&{{ -3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
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