Concept explainers
Todetermine:The similarity and difference of the functions one represented by a graph and other by a table.
Answer to Problem 51PPE
The similarity and difference of the functions one represented by a graph and other by a table are:
Similarity: The curve represented by both the functions is a straight line, and both make y-intercepts
Difference: The function represented by the graph is
Explanation of Solution
Given information:
The graph of function and the table is given in Figure-1(a) and Figure-1(b) respectively.
Formulaused:
The equation of straight line passing that makes intercepts of lengths a and b on x-axis and y-axis respectively is given by
Calculations:
Let
The straight line makes intercepts of lengths 4 units and 3 units on x-axis and y-axis respectively. Then equation of line is
Thus, the function represented by the graph is
Let
The curve represented by the data of the table is a straight line that makes x-intercept and y-intercept of length 6 units and 3 units. Therefore, its equation is
Then equation of line is
Thus, the function represented by the table is
The similarity and the difference in functions represented by graph (Figure-1 (a)) and the given table are:
Similarity: The curve represented by both the functions is a straight line, and both make y-intercepts
Difference: The function represented by the graph is
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