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Chapter 2: Q20. (page 66)

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

f(x)=6x-19

Short Answer

Expert verified

Yes, the function f(x)=6x-19 is a linear function.

Step by step solution

01

– Definition of a linear equation and 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 f(x)=mx+b, where m and b are real numbers.

02

– Given information.

The given function is:

f(x)=6x-19

03

– Check whether the equation is linear or not.

The given function is in the form of f(x)=mx+b, where both m=6 and b=-19 are real values. So, the function f(x)=6x-19 is a linear function.

Thus,the required answer is 鈥淵es鈥� because the function f(x)=6x-19 is a linear function.

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