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Today, I will be teaching you about functions!
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Today's objective is finding the relationship for a function through graphs, and table to determine which quantity
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Compare functions numerically, graphically, verbally, and algebraically.
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Interpret equations use the formula y=mx+b form as a linear function determine whether a function is linear or
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nonlinear.
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You will use rate of change using tables, graphs, equations, or verbal descriptions.
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What is a function?
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A function is a relationship between an input and output in which there is only one output for each input.
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A function is like a machine a number the comes is the input and the number that comes out is the output.
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How do you figure out the function for a graph?
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To figure out to find that function for a graph you have to use the vertical line test.
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The vertical line test is use to find if the graph is s function.
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In functions there is function notations
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A function notation is when y is replaced as f(x) in a equation.
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For example, f(x)=2x+1 is a non liner equation.
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Another example, f(x)=2x+2.
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What is f(6)?
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The answer would be 14
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Now I'm moving on to domain and range.
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Domain is the set of possible inputs that produce a valid output.
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Range is the set of possible output values for a function.
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For graphs to find the function you will need to know how to find slope and slope intercept form.
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Slope is a tilt of a line on a graph.
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The formula for slope is y2-y1 over x2-x1 .
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There is two types of lines horizontal and vertical lines
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Horizontal lines have zero rate of change.
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Vertical lines have undefined rate of change.
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The formula for slope intercept form is y=mx+b
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M is slope.
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B is intercept.
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Tomorrow, we will learn unit 3 liner functions.