IB Mathematics Analysis and Approaches Question Type 1: Drawing Exponential Functions and Indicating Their Asymptotes Exercises

Sketch the graph of $y=2^x+3$ and indicate its horizontal asymptote.

Sketch the graph of $y=2^{x+2}-2$ and indicate its horizontal asymptote.

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Sketch the graph of $y=3^{2x-1}+2$ and indicate its horizontal asymptote.

Sketch the graph of $y=-3^x+1$ and indicate its horizontal asymptote.

Sketch the graph of $y=4^{-x}$ and state its horizontal asymptote.

Sketch the graph of $y=5^{-x+1}-3$ and state its horizontal asymptote.

Sketch the graph of $y=3^{x-1}$ and state its horizontal asymptote.

Sketch the graph of $y={\left(\frac{1}{2}\right)}^x+1$ and state its horizontal asymptote.

Sketch the graph of $y=2^x$ and indicate its horizontal asymptote.

Sketch the graph of $y=-2^x$ and state its horizontal asymptote.

Sketch the graph of $y=5^{2x}$ and indicate its horizontal asymptote.

Sketch the graph of $y=-2^{x-3}+4$ and indicate its horizontal asymptote.