Concept explainers
To find: Function represented by the graph.
Answer to Problem 9CYU
g(x)=−x+2
Explanation of Solution
From the given Graph we can say that the line passed through the points
(x1,y1)=(2,0)
(x2,y2)=(0,2)
Using two-point formula
y−y1=(y2−y1x2−x1)(x−x1)
On substituting values
We get
y−y1=(y2−y1x2−x1)(x−x1)⇒y−0=(2−00−2)(x−2)⇒y=(2−2)(x−2)⇒y=(−1)(x−2)⇒y=−x−(−2)⇒y=−x+2
Here y can be replaced with g(x)
Therefore
g(x)=−x+2
Chapter 3 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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