F-BF.3

High school · High School: Functions — Building Functions

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

Official code: CCSS.MATH.CONTENT.HSF-BF.3
Short code: F-BF.3
Subject: Mathematics
Grade: High school
Domain: High School: Functions — Building Functions

More High school High School: Functions — Building Functions standards

F-BF.1 Write a function that describes a relationship between two quantities ★ F-BF.1a Determine an explicit expression, a recursive process, or steps for calculation from a context. F-BF.1b Combine standard function types using arithmetic operations. F-BF.1c (+) Compose functions. F-BF.2 Write arithmetic and geometric sequences both recursively and with an explicit... F-BF.4 Find inverse functions. F-BF.4a Solve an equation of the form f(x) = c for a simple function f that has an inverse and... F-BF.4b (+) Verify by composition that one function is the inverse of another. F-BF.4c (+) Read values of an inverse function from a graph or a table, given that the... F-BF.4d (+) Produce an invertible function from a non-invertible function by restricting the domain. F-BF.5 (+) Understand the inverse relationship between exponents and logarithms and use this...

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