PreCalculus Chapter 1 Functions and Their Graphs



PreCalculus Chapter 1 Functions and Their Graphs

|Day 1 |Draw a scatterplot by hand and on a calculator. |Rule of Thumb |

|1.7 Linear Models |Interpret r (correlation). |Pg. 78 (2-6, 13) |

| |Use scatterplots to find linear models for data. | |

|Day 2 |Find slope and y-intercept for a line from a graph and from an equation. |Linear Equations WS |

|1.1 |Interpret the slope and y-intercept of a line. | |

|Lines |Graph a line. | |

| |Write an equation of a line given two points. | |

| |Write an equation of a line through a point and parallel or perpendicular to a given | |

| |line. | |

|Day 3 |Determine whether a relation represents a function from a mapping diagram, table, or |Linear Eq Quiz |

|1.2 |ordered pairs. | |

|Functions |Determine whether an equation represents y as a function of x. |Pg. 24 (2, 5, 10, 13, 15, 17, 34, |

| |Evaluate a piecewise function at a specified value. |38, 41, 54, 56, 64, 66) |

| |Find the domain of a function from its equation. | |

| |Use a graphing utility to find domain and range. | |

|Day 4 |Apply concepts of slope and linear functions. |Bones |

|Linear Application | | |

|Day 5 |Graph a function from a calculator, then find the domain and range algebraically and |1.3 Around the Room |

|1.3 |graphically. | |

|Graphs of Equations |Use the Vertical Line Test to determine whether y is a function of x. |Pg. 38 (6-9, 15-17, 21, 34, 44, 47,|

| |Determine intervals on which a function is increasing, decreasing, or constant from a |77, 79) |

| |graph. | |

| |Approximate relative minimum and relative maximum values from a graph. | |

| |Graph piecewise functions. | |

| |Determine if a function is even or odd algebraically and graphically. | |

|Day 6 |Sketch graphs of parent functions by hand. |Pg. 48 (4, 9, 10, 22, 24, 27, 28, |

|1.4 Transformations of |(y=x y=x2, y=x3, y=(x, y=(x() |29, 36, 65-68) |

|Functions |Describe a graph by its transformations. | |

| |Graph a function that is a transformation. | |

|Day 7 |Add, subtract, multiply, and divide functions. |1.2-1.4 Practice Quiz |

|1.5 |Find compositions of functions. | |

|Combinations of Functions | |Pg. 58 (6-8,35, 36, 85) |

|Day 8 |Algebraically, find the inverse of a function. |1.2-1.4 Quiz |

|1.6 |Verify two functions are inverses algebraically, numerically, and graphically. | |

|Inverse Functions |Use the Horizontal Line Test to determine if a function is one-to-one and so has an |Task Rotation |

| |inverse. | |

| | |Pg. 69 (5, 19, 44, 62, 112) |

|Day 9 | |Chapter 1 Review WS |

|Chapter 1 Review | | |

|Day 10 | |Chapter 1 Test |

|Chapter 1 Test | | |

|1.1 Slope |

|Find slope and y |

|intercept for a line from |

|a graph and from an |

|equation. |

|Interpret the slope and y- |

|intercept of a line. |

|Graph a line. |

|Write an equation of a |

|line given two points. |

|Write an equation of a line |

|through a point and (( or |

|( to a given line. |

|1.7 Regression |

|Draw a scatter plot |

|by hand and on a |

|calculator. |

|Interpret r |

|(correlation). |

|Use scatter plots to |

|find linear models |

|for data. |

| |

|1.2 Functions |

|Determine whether a relation represents a function from a mapping diagram, table, or ordered pairs. |

|Determine whether an equation represents y as a function of x. |

|Evaluate a piece-wise function at a specified value. |

|Find the domain of a function from its equation. |

|Use a graphing utility to find domain and range. |

| Graphs |

|Graph a function, then find the domain and range algebraically and graphically. |

|Use the Vertical Line Test to determine whether y is a function of x. |

|Determine increasing, |

|decreasing, or constant |

|intervals. |

|Approximate relative min and max values from a graph. |

|Graph piecewise functions. |

|Determine if a function is even or odd. |

|Transformations |

| |

|Sketch graphs of parent functions by hand. (y=x y=x2, y=x3, y=(x, y=(x() |

|Describe a graph by transformations. |

|Graph a function with transformations. |

|Combinations of Functions |

| |

|Add, subtract, multiply, and divide functions. |

| |

|Find compositions of functions. |

| |

|1.6 Inverses |

|Algebraically, find the inverse of a function. |

| |

|Verify two functions are inverses algebraically, numerically, and graphically. |

| |

|Use the Horizontal Line Test to determine if a function is one-to-one and so has an inverse. |

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