Exponential Function. 1. Investigate the effect of a =+/-1 on the graph : 2. Investigate the effect of a on the graph: 3. Investigate the effect of q.

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Presentation transcript:

Exponential Function

1. Investigate the effect of a =+/-1 on the graph : 2. Investigate the effect of a on the graph: 3. Investigate the effect of q on the graph of:

a > 0 and b > 1a 1

a > 0 and 0 < b < 1a < 0 and 0 < b < 1

The general form of the exponential function The standard form is:

To draw find: Is there a shift (q)? Asymptotes: y = q Determine the x-intercept (let y=0) (if it has one) Determine the y-intercept (let x=0) Alternatively, use a table to get a better shape Drawing an exponential function

Determining the equation of an exponential function Always first substitute the asymptote if it is given. Then substitute in the y-intercept and any other point.