State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.
No, the function is not a linear function.
In a linear equation the exponent of each variable is 1 and the variables may not be multiplied together. The graph of a linear equation is always a line.
In a linear function, each input value has a unique output value. In other words, for each point in domain, there is a unique value in the range of function. It can be written as , where m and b are real numbers.
The given function is:
In the given function the highest exponent of x is 3.
The function is not a linear function because x has an exponent other than 1.
Thus, the required answer is “No” because the function is not a linear function.
94% of StudySmarter users get better grades.Sign up for free