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Study GuideFunctions

Worksheet/Answer keyFunctions

Worksheet/Answer keyFunctions

Worksheet/Answer keyFunctions

MS.8. Grade 8

8.F. Functions (F)

Define, evaluate, and compare functions

8.F.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

MS.CM8AI. Compacted Mathematics Grade 8 (with Algebra I)

CM8AI.A-SSE. Algebra: Seeing Structure in Expressions (A-SSE)

Write expressions in equivalent forms to solve problems

A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A-SSE.3.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as [1.15^(1/12)]^12t â‰ˆ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

CM8AI.F. Functions: Functions (F)

Define, evaluate, and compare functions

8.F.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

CM8AI.F-IF. Functions: Interpreting Functions (F-IF)

Understand the concept of a function and use function notation

F-IF.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

CM8AI.F-LE. Functions: Linear, Quadratic, and Exponential Models (F-LE)

Construct and compare linear, quadratic, and exponential models and solve problems

F-LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.

F-LE.1.a. Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

MS.CM8IM. Compacted Mathematics Grade 8 (with Integrated Math I)

CM8IM.A-SSE. Algebra: Seeing Structure in Expressions (A-SSE)

Write expressions in equivalent forms to solve problems

A-SSE.3. Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A-SSE.3.c. Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15^t can be rewritten as [1.15^(1/12)]^12t â‰ˆ 1.012^12t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.

CM8IM.F. Functions: Functions (F)

Define, evaluate, and compare functions

8.F.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

CM8IM.F-IF. Functions: Interpreting Functions (F-IF)

Understand the concept of a function and use function notation

F-IF.1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

CM8IM.F-LE. Functions: Linear, Quadratic, and Exponential Models (F-LE)

Construct and compare linear, quadratic, and exponential models and solve problems

F-LE.1. Distinguish between situations that can be modeled with linear functions and with exponential functions.

F-LE.1.a. Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

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