Chapter 3: Q. 346 (page 344)

(a) Graph the function
$f (x) = - 3 x + 3$
(b) State its domain and range. Write the domain and range in interval notation.

Short Answer

Expert verified

The graph of the function is

$D o m a i n : (- \infty, \infty) R a n g e : (- \infty, \infty)$

Step by step solution

Given Information

Graph the function

$f (x) = - 3 x + 3$

Part(a) Step 1: Graph the function

Function f(x) is in the form of $f (x) = m x + b$

where m is the slope and b is the y intercept .

$f (x) = - 3 x + 3 s l o p e = - 3 y i n t e r c e p t = 3$

Plot the y intercept (0,2).

Now use the slope =-3

Plot the y intercept (0,3)

Move 3 unit down and 1 unit to the right .

Plot the point at (0,1). Connect the points by a line .

The graph of the function is

Part(b) Step 1: Domain and Range

Domain is the set of x values for which the function is defined.

The graph is defined for all x values .

Range is the set of y values for which the function is defined. The graph is defined for all y values .

Interval notation :

$D o m a i n : (- \infty, \infty) R a n g e : (- \infty, \infty)$

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(a) Graph the function
$f (x) = - 3 x + 3$
(b) State its domain and range. Write the domain and range in interval notation.

Short Answer

Step by step solution

Given Information

Part(a) Step 1: Graph the function

Part(b) Step 1: Domain and Range

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(a) Graph the function f(x)=-3x+3(b) State its domain and range. Write the domain and range in interval notation.

Short Answer

Step by step solution

Given Information

Part(a) Step 1: Graph the function

Part(b) Step 1: Domain and Range

One App. One Place for Learning.

Most popular questions from this chapter

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Mechanics Maths

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Study anywhere. Anytime. Across all devices.

(a) Graph the function
$f (x) = - 3 x + 3$
(b) State its domain and range. Write the domain and range in interval notation.