Graphs of Exponentials - Questions

Question 1
44098

Sketch the function \(y=2^x\) in the domain \(-2 \le x \le 2\)

Refer to worked solution

Question 2
44099

Sketch the function \(y=3^{-x}\) in the domain \(-2 \le x \le 2\)

Refer to worked solution

Question 3
44100

Sketch the function \(y=-4^{-x}\) in the domain \(-2 \le x \le 2\)

Refer to worked solution

Question 4
44101

Find the coordinates on the graph \(y=5^x\), where

i) \(x=-1\)
ii) \(y=25\)

i) \((-1,\dfrac{1}{5})\)  ii) \((2,25)\)

Question 5
44102

Find the intersections of the graphs of 

i) \(y=-4^x\) and \(y=-4\)
ii) \(y=3^{-x}\) and \(y=\dfrac{1}{9}\)

i) \((1,-4)\)   ii) \((2,\dfrac{1}{9})\)