Write and graph an exponential function by examining a table

Write and graph an exponential function by examining a table

In this lesson you will learn how to write and graph an exponential function by examining a table that displays an exponential relationship.

ADDITIONAL MATERIALS

STANDARDS

CCSS.HSA-CED.A.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

TEKS.A2.6.L formulate and solve equations involving inverse variation.

TEKS.A2.4.E formulate quadratic and square root equations using technology given a table of data;

TEKS.A1.2.C write linear equations in two variables given a table of values, a graph, and a verbal description;

TEKS.A1.6.B write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (𝑓(𝑥) = 𝑎(𝑥 - ℎ)²+ 𝑘), and rewrite the equation from vertex form to standard form (𝑓(𝑥) = 𝑎𝑥²+ 𝑏𝑥 + 𝑐); and

TEKS.A1.2.B write linear equations in two variables in various forms, including 𝑦 = 𝑚𝑥 + 𝑏, 𝐴𝑥 + 𝐵𝑦 = 𝐶, and 𝑦 - 𝑦₁ = 𝑚(𝑥 - 𝑥₁), given one point and the slope and given two points;

IN.AI.L.5 Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts.

VA.F.AII.6.b use knowledge of transformations to convert between equations and the corresponding graphs of functions.

VA.PFA.8.16.e make connections between and among representations of a linear function using verbal descriptions, tables, equations, and graphs.

VA.F.A.7.f connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs.

VA.F.AII.7.g connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs;

VA.EI.A.6.b write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line; and

FL.MAFS.912.A-CED.1.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.