Chapter 3: Q 348. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = \frac{2}{3} x - 2 .$

Short Answer

Expert verified

Domain of linear function is $(- \infty, \infty) .$ Range of linear function is $(- \infty, \infty) .$

Step by step solution

Step 1. Given Information

Given that the linear function equation is $f (x) = \frac{2}{3} x - 2 .$

Step 2. Linear function

It is confirm that the given linear function is in slope-intercept form.

Slope is $m = \frac{2}{3} .$ The y-intercept can be found as $(0, - 2) .$ Graph can be drawn using slope and intercept are drawn as,

Step 3. Domain and range

Because given function is a linear function, domain of linear function is all real numbers. Domain for the given linear functions is $(- \infty, \infty) .$

Because given function is a linear function, range of linear function is all real numbers. Range of the linear function is $(- \infty, \infty) .$

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = \frac{2}{3} x - 2 .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Linear function

Step 3. Domain and range

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.f(x)=23x-2.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Linear function

Step 3. Domain and range

One App. One Place for Learning.

Most popular questions from this chapter

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = \frac{2}{3} x - 2 .$