Given the following linear function, sketch the graph of the function and find the domain and range. f(x) = -5x + 4.

Solution:

For an ordered pair (x,y) that a set contain:

X = domain

y = range

In a relation x can have 2 or more than 2 ranges.

So, domain = first element of ordered pair.

Given, it's a linear function.

We need only two points to sketch the graph.

f(x) = -5x + 4

Now, y = -5x + 4

At x = 0,

y = -5(0) + 4

y = 4

At x = 1,

y = -5(1) + 4

y = -5 + 4

y = -1

Therefore, the two points are (0 , 4) and (1 , -1)

Therefore, the domain and range of the linear function is the set of all real numbers.

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Given the following linear function, sketch the graph of the function and find the domain and range. f(x) = -5x + 4.

Summary:

The domain and range of the linear function f(x) = -5x + 4 is the set of all real numbers.