TBIL-Precal Exponential and Logarithmic Functions (EL)

Chapter 5 Exponential and Logarithmic Functions (EL)

How do we model exponential growth?

By the end of this chapter, you should be able to...

Determine if a given function is exponential. Find an equation of an exponential function. Evaluate exponential functions (including base $e$ ).
Graph exponential functions and determine the domain, range, and asymptotes.
Convert between exponential and logarithmic form. Evaluate a logarithmic function, including common and natural logarithms.
Graph logarithmic functions and determine the domain, range, and asymptotes.
Use properties of logarithms to condense or expand logarithmic expressions.
Solve exponential and logarithmic equations.
Solve application problems using exponential and logarithmic equations.

Before beginning this chapter, you should be able to...

Simplify expressions using properties of exponents.
- Review and Practice: Khan Academy
  ¹
  www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-exponent-properties/v/exponent-properties-involving-products
Simplify expressions that involve negative exponents.
- Review and Practice: Khan Academy
  ²
  www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-numbers-operations/cc-8th-pos-neg-exponents/v/negative-exponents
Graph functions using transformations.
- Review and Practice: Section 2.4
Solve linear inequalities.
- Review and Practice: Section 1.1
Find the domain and range of a function from its graph.
- Review and Practice: Section 2.3
Determine horizontal and vertical asymptotes from a graph.
- Review: YouTube (Mathispower4u)
  ³
  www.youtube.com/watch?v=S7eIJhAXX28
- Practice: IXL
  ⁴
  www.ixl.com/math/algebra-2/rational-functions-identify-asymptotes-from-graphs