14209an2.13-16

14209an2.13-16 - c circlecopyrt Kendra Kilmer Section 2.4...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: c circlecopyrt Kendra Kilmer January 20, 2009 Section 2.4 - Exponential Functions Definition: The equation defines an exponential function for each real number b , called the base. Properties of the Graphs of f ( x ) = b x 1. Domain is the set of all real numbers. 2. Range is the set of all positive real numbers. 3. All graphs pass through the point ( , 1 ) . 4. The graph is continuous (no holes or jumps). 5. The x axis is a horizontal asymptote (but only in one direction). 6. If b > 1, the graph is increasing (exponential growth). 7. If 0 < b < 1, the graph is decreasing (exponential decay). Example 1: Graph f ( x ) = 2 x , g ( x ) = 5 x , h ( x ) = parenleftbigg 1 2 parenrightbigg x , and k ( x ) = parenleftbigg 1 5 parenrightbigg x . 13 c circlecopyrt Kendra Kilmer January 20, 2009 Definition: The most common base is the number e . Properties of Exponential Functions For a and b positive, a negationslash = 1, b negationslash = 1, and x and y real, 1. Exponent laws: a x a y = a x + y...
View Full Document

Page1 / 4

14209an2.13-16 - c circlecopyrt Kendra Kilmer Section 2.4...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online