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Function notation for linear functions

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

"Algebraically, a linear function can be defined by a linear expression in one variable or by a linear equation in two variables. In the first case, the variable is the input and the value of the expression is the output. In the second case, one of the variables is designated as the input and determines a unique value of the other variable, which is the output." "Identify or create a linear function to model a relationship between two quantities." "Write the rule for a linear function given two input/output pairs or one input/output pair and the rate of change."

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"Algebraically, a linear function can be defined by a linear expression in one variable or by a linear equation in two variables. In the first case, the variable is the input and the value of the expression is the output. In the second case, one of the variables is designated as the input and determines a unique value of the other variable, which is the output."
"Identify or create a linear function to model a relationship between two quantities."
"Write the rule for a linear function given two input/output pairs or one input/output pair and the rate of change."

What you'll learn

  1. Read and write statements in function notation for a linear function, taking `f(x)` as the output of the function `f` at input `x` and `f(x) = mx + b` as `y = mx + b` with its output named
  2. Interpret `f(3) = 7` as a point, a table row, and a sentence
  3. Write a linear function rule from a described relationship, from two input/output pairs, or from one input/output pair and the rate of change
  4. Find `f(0)` and solve `f(x) = 0`, saying which asks for an output and which for an input, and evaluate or expand compound expressions such as `2f(3) + 1` and `f(x + 2)`

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