Common Core Math
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Learning Goal

Part of: Construct and compare linear, quadratic, and exponential models and solve problems — 5 of 7 cluster items

Construct linear and exponential functions

HSF.LE.A.2

**HSF.LE.A.2**: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

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HSF.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

What you'll learn

  1. Construct a linear function from two input-output pairs using the slope formula and point-slope reasoning
  2. Construct an exponential function from two input-output pairs by finding the common ratio and solving for the initial value
  3. Read a table of values and determine whether the data represent a linear or exponential relationship
  4. Write the equation of a linear or exponential function given a verbal description of constant additive or multiplicative change
  5. Construct linear and exponential functions from a graph by identifying key features (slope, y-intercept, growth factor)
  6. Connect arithmetic sequences to linear functions and geometric sequences to exponential functions, translating between sequence notation and function notation

Slides

Interactive presentations perfect for visual learners • In development

Slides

In development

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