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Chapter 2: Q21. (page 66)

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

21.f(x)=7x5+x-1

Short Answer

Expert verified

No, the function f(x)=7x5+x-1 is not 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)=7x5+x-1

03

– Check whether the equation is linear or not.

In the given function the highest exponent of x is 5.

The function f(x)=7x5+x-1is not a linear function because x has an exponent other than 1.

Thus,the required answer is 鈥淣o鈥� because the function f(x)=7x5+x-1 is not a linear function.

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Most popular questions from this chapter

Which of the equations x+9y=7,鈥�x2+5y=0, and y=3x-1 is not linear?

Which of the functions fx=2x+4,gx=7and hx=x3-x2+3xis not linear.

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or

D. the relationship cannot be determined from the information given.

The average (arithmetic mean) of three integers x, y, and z is 30.

Column A

Column B

the average (arithmetic mean) of three integers x, y, z and 29

30

Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.

-15y=x+4

Solve each inequality.

-2<3x+1<7
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