## HOW TO SKETCH THE GRAPH OF THE FUNCTION IN THE GIVEN INTERVAL

How to Sketch the Graph of the Function in the Given Interval :

Here we are going to see how to sketch the graph of the function in the given interval.

## How to Sketch the Graph of the Function with Given Interval - Examples

Question 1 :

Sketch the graph of the given function f on the interval [−1.3, 1.3].

f(x) = x3 + 1

Solution :

By shifting the graph of y = xup 1 unit, we will get the graph of y = x3 + 1.

Question 2 :

Sketch the graph of the given function f on the interval [−1.3, 1.3].

f(x) = x4 − 1.5

Solution :

First let us draw the graph of f(x)  =  x4. By shifting the graph 1.5 units downward, we may get the graph of x4 − 1.5.

Question 3 :

Sketch the graph of the given function f on the interval [−1.3, 1.3].

f(x) = 2x3

Solution :

f(x) = 2x3

Since 2 is multiplied by x3, we have to perform vertical stretch.

Question 4 :

Sketch the graph of the given function f on the interval [−1.3, 1.3].

f(x) = -2x4

Solution :

Here - is multiplied by x4. So we have to perform reflection on horizontal axis. Since 2 is multiplied, we have to perform vertical stretching by the factor 2 units.

Question 5 :

Sketch the graph of the given function f on the interval [−1.3, 1.3].

f(x) = -2x4 + 3

Solution :

Here 3 is added with the function f(x) = -2x4, we have to shift the graph 3 units upward.

After having gone through the stuff given above, we hope that the students would have understood "How to Sketch the Graph of the Function with Given Interval".

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