Chapter 3: Q. 341 (page 344)

(a) Graph the function $f (x) = 3 x + 4$ .
(b)state its domain and range. Write the domain and range in interval notation.

Short Answer

Expert verified

The graph of f(x) is

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

Step by step solution

Given Information

Given function is

$f (x) = 3 x + 4$

Part(a) Step 1: Graph the function

The given function f(x) is in the form of $f (x) = m x + b$

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

$f (x) = 3 x + 4$

slope =3

y intercept=4

Plot the y intercept (0,4). Now use the slope =3

Move 3 units up and 1 unit to the right .

Plot the point at (1,7). 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 .

Domain : $(- \infty, \infty)$

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

Range: $(- \infty, \infty)$

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(a) Graph the function $f (x) = 3 x + 4$ .
(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+4. (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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(a) Graph the function $f (x) = 3 x + 4$ .
(b)state its domain and range. Write the domain and range in interval notation.