Question

Graph the function.

f(x)=−1/5x+4


Use the Line tool and select two points to graph.

Answer 1

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

Explanation:

We need to graph the function:
`f(x)=-(1)/(5)x+4`

For drawing the graph, we need x and y coordinateness.

The can be found as following:

If we put x =1 in the given function, we will get:

`f(x)=-(1)/(5)x+4\\Put\:x=1\\f(x)=-(1)/(5)(1)+4\\f(x)=-(1)/(5)+4\\f(x)=(-1+4*5)/(5)\\f(x)=(-1+20)/(5)\\f(x)=(19)/(5)\\f(x)=3.8`

So, we get when x =1 f(x) or y = 3.8

Now for finding second point, we put x =2 in the given function

`f(x)=-(1)/(5)x+4\\Put\:x=2\\f(x)=-(1)/(5)(2)+4\\f(x)=-(2)/(5)+4\\f(x)=(-2+4*5)/(5)\\f(x)=(-2+20)/(5)\\f(x)=(18)/(5)\\f(x)=3.6`

So, we get when x =2 f(x) or y = 3.6

The coordinates are: (1,3.8), (2,3.6)

Now, plotting these points on graph as shown in figure.

You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)

Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)