Exponential Equations from Graphs

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Objective

I can write an exponential equation to represent a graphed function.

Part 1 of 4

Warm-up video

Kayla Jones · 4:24

We don't generate video — this one is by Kayla Jones on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    The general form of an exponential function is y = a * b^x, where 'a' represents the starting value or y-intercept and 'b' represents the growth rate.

  2. 2

    To write an exponential function from a graph, first create a table using points from the graph, then find the growth rate and starting value.

  3. 3

    The growth rate ('b') can be found by dividing the 'new' y-value by the 'old' y-value, using the formula new/old, and the y-intercept is the value of 'y' when x is zero.

Part 3 of 4

Practice

10 questions

1

What are the three steps to writing an exponential equation from a graph, according to the video?

2

In the exponential equation y = a * b^x, what do 'a' and 'b' represent?

Part 4 of 4

Exit ticket

Quick comprehension check

Write an exponential equation in the form y=a⋅bˣ that represents the graphed function which passes through the points (0, 3) and (1, 6).

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

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