Sketch the function \(y=2^x\) in the domain \(-2 \le x \le 2\)
Refer to worked solution
Sketch the function \(y=3^{-x}\) in the domain \(-2 \le x \le 2\)
Sketch the function \(y=-4^{-x}\) in the domain \(-2 \le x \le 2\)
Find the coordinates on the graph \(y=5^x\), where
i) \(x=-1\)ii) \(y=25\)
i) \((-1,\dfrac{1}{5})\) ii) \((2,25)\)
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) \((2,\dfrac{1}{9})\)
Given that the points \((1,7)\) and \((0,1)\) lie on the exponential curve, find the equation of the curve.
\(y=7^x\)
Given that the points \((2,9)\) and \((0,1)\) lie on the exponential curve, find the equation of the curve.
\(y=3^x\)
Given that the points \((-2,16)\) and \((0,1)\) lie on the exponential curve, find the equation of the curve.
\(y=4^{-x}\)
Which one of the graphs below is the graph of \(f(x) = - {2^x}\)
Graph D
Which one of the graphs below is the graph of \(f(x) = - {2^{ - x}}\)?
