Reasoning A certain function fits the following description: As the value of
increases by 1 each time, the value of
decreases by the square of x. Is this function linear or nonlinear ? Explain your reasoning.
To explain: whether the given function is linear or non linear.
Explanation of Solution
Given information:
The given function “the y- value decreases by square of x”.
Calculation:
As x value increases y- value decreases. So there is inverse relation between input and
output values.
The relation is given by
The graph of
Hence, the given function is non linear.
Chapter 4 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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