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Chapter 2: Q. 5 (page 68)

If fis a function defined by the equation y=f(x), then x is called the ____________ variable and y is the ____________ variable.

Short Answer

Expert verified

If fis a function defined by the equation y=f(x), then x is called the independentvariable and yis the dependent variable.

Step by step solution

01

Step 1. Given information 

If fis a function defined by the equation y=f(x), then x is called the ____________ variable and y is the ____________ variable.

02

Step 2. The equation is y=f(x)

The domain variable (x)is referred to as the independent variable. The range variable (y)is referred to as the dependent variable. Usually function notation is used to represent a relation which is a function. Given that relation "f"is a function, it can be represented as y=f(x)(stated as "yequals f at x").

03

Step 3. In the given notation,

x may be called the independent variable, andy may be called thedependent variable.

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Most popular questions from this chapter

Write the point鈥搒lope form of the line with slope 5 containing the point (3, -2).

Match each graph to its function.

A. Constant function

B. Identity function

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D. Cube function

E. Square root function

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The short-term

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role="math" localid="1645828501222" F(x)=2if0<x鈮�14if1<x鈮�310if3<x鈮�45int(x+1)+2if4<x<951if9鈮�x鈮�24

Determine the fee for parking in the short-term parking

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(b) 7hours

(c) 15hours

(d) 8hours and 24minutes

In Problems 7鈥�18, match each graph to one of the following functions:

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A semicircle of radius r is inscribed in a rectangle so that the diameter of the semicircle is the length of the rectangle. See the figure.

(a) Express the area A of the rectangle as a function of the radius r of the semicircle.

(b) Express the perimeter p of the rectangle as a function of r.
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