Question

Graph f(x)=−3/4x−4 .

Answer 1

To graph the equation f(x) = -3/4x - 4, choose values for x, substitute them into the equation to find corresponding y values, and plot the points on a graph.

Step-by-step explanation:

The given equation is f(x) = -3/4x - 4. To graph this equation, we can choose several values for x and substitute them into the equation to find the corresponding values for y. Then, we plot these points on a coordinate plane and connect them to form a line.

For example, let's choose x = 0. Substituting this value into the equation, we get f(0) = -3/4(0) - 4 = -4. This gives us the point (0, -4) on the graph. Similarly, we can choose other values for x and find their corresponding y values to plot more points and complete the graph of f(x).

Answer 2

First, find the asymptotes.

When does f(x) become undefined? When the numerator is 0

0=4x-4
4=4x
x=1

Therefore, x cannot be 1, this is a horizontal asymptote.

We also know that when the degree of x in the numerator is smaller than the degree of x in the denominator, y=0.

Now that we have the horizontal asymptotes, find a third point to draw the graph.

If x=2,

f(2)=-3/4(2)-4
=-3/4

Be sure to include this points in your graph.

Hope I helped :)