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Section 4.0 & 4.1

Section 4.0 & 4.1. College Prep Math. Recall that in function notation f(x)…. F is. t he name of a particular function. X is. the independent variable in the function (domain). F(x). the values (dependent) we get out of the function (range).

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Section 4.0 & 4.1

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  1. Section 4.0 & 4.1 College Prep Math

  2. Recall that in function notation f(x)…. F is the name of a particular function X is the independent variable in the function (domain) F(x) the values (dependent) we get out of the function (range)

  3. If, for example, we reintroduce y as a variable, we will use it in place of f(x). Instead of writing f(x)=3x-5, we write y=3x-5. When graphing, the horizontal axis will be the _____________ and the vertical axis will be labeled the _______________ or ______________. x-axis y-axis f(x)-axis

  4. Recall the linear function is a polynomial function of the form ____________. It is called a linear function because _______________________. The rate of change for a linear function is sometimes called the ________ of the line. mx+b the graph is a line slope (m)

  5. SLOPE

  6. Find the slope (-1, 3) (2, 5)

  7. Find the slope (4, -2) (8,-5)

  8. Find the slope (-1, -3) (4, -3) A line with a slope of zero is horizontal

  9. Find the slope (3, 5) (3, -2) A line with a slope of undefined is vertical m=undefined (you can’t divide by zero)

  10. What is the slope of the graph of y=2x-1 Step 2: Find the slope using the points Step #1: Find 2 points on the graph -2 -5 6 11

  11. Is it just a coincidence that our slope was 2 and the coefficient of X is 2? NO! The slope of the graph of a linear function in simplified form is the _________________________. coefficient of the x term The two points where a linear function crosses each axis are very important. These points are called __________________. Every point on the y-axis will have an x-coordinate of __________. For any function y=dx+e, the y-int would be ____. intercepts zero e

  12. We often use b to represent the y-intercept and with m for the slope we have the function ___________ which is called the ___________________ form of a linear relation. y=mx+b Slope-Intercept

  13. As for the x-intercept, every point on the x-axis has a y-coordinate of ______. To find the x-intercept of a linear function simply ___________ and _____________. Note: The x-intercept is the _____________________. 0 set y=0 solve for x same as the 0 of the function

  14. Put the following equations in slope-intercept form (identify the slope and y-intercept)

  15. Put the following equations in slope-intercept form (identify the slope and y-intercept) Get a LCD so we can cancel the denominators

  16. Find the intercepts. Just plug in zero for the opposite variable y-intercept x-intercept

  17. Find the intercepts x-intercept y-intercept

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