# GRAPHING EXPONENTIAL FUNCTIONS WORKSHEET

## About "Graphing exponential functions worksheet"

Graphing exponential functions worksheet :

Here we are going to see some practice questions on exponential functions.

An exponential function is a function that can be described by an equation of the form y = ax, where a > 0 and a  1.

## How to graph exponential functions ?

(i)  Give some random values of x, from this we can get the values of y.

(ii)  Write them as ordered pairs.

(iii)  Graph the ordered pairs and connect the points with a smooth curve. The y-intercept is 1.

Let us look into some example problems.

## Graphing exponential functions worksheet - Practice questions

(1)  Graph y = 4x. State the y-intercept.

(2)  Graph y = (1/2)x. State the y-intercept.

(3)  Graph y = 2⋅ 3x. State the y-intercept.

(4)  Graph y=3(2x-1).State the y-intercept.

## Graphing exponential functions worksheet - Solution

Question 1 :

Graph y = 4x. State the y-intercept.

Solution :

Giving some random values of x, so we get the values of y.

 x-2-10123 4x4-24-140414243 y1/161/4141664

Set of ordered pairs :

(-2, 1/16) (-1, 1/4) (0, 1) (1, 4) (2, 16) (3, 64)

Graph the ordered pairs and connect the points with a smooth curve. The y-intercept is 1. Question 2 :

Graph y = (1/2)x. State the y-intercept.

Solution :

Giving some random values of x, so we get the values of y.

 x-3-2-1012 (1/2)x(1/2)-3(1/2)-2(1/2)-1(1/2)0(1/2)1(1/2)2 y84211/21/4

Set of ordered pairs :

(-3, 8) (-2, 4) (-1, 2) (0, 1) (1, 1/2) (2, 1/4)

Graph the ordered pairs and connect the points with a smooth curve. The y-intercept is 1. Question 3 :

Graph y = 23x. State the y-intercept.

Solution :

Giving some random values of x, so we get the values of y.

 x-2-1012 2⋅ 3x2⋅ 3-22⋅ 3-12⋅ 302⋅ 312⋅ 32 y0.2220.6662618

Set of ordered pairs :

(-2, 0.222) (-1, 0.666) (0, 2) (1, 6) (2, 18)

Graph the ordered pairs and connect the points with a smooth curve. The y-intercept is 2. Question 4 :

Graph y = 3(2x-1).State the y-intercept.

Solution :

Giving some random values of x, so we get the values of y.

 x-2-1012 3(2x-1)3(2-2-1)=3(-3/4)3(2-1-1)=3(-1/2)3(20-1)=3(-1)3(21-1)=3(1)3(22-1)=3(3) y-2.25-1.5-339

Set of ordered pairs :

(-2, -2.25) (-1, -1.5) (0, -3) (1, 3) (2, 9)

Graph the ordered pairs and connect the points with a smooth curve. The y-intercept is 0. After having gone through the stuff given above, we hope that the students would have understood, "Graphing exponential functions worksheet".