HSF-IF.C.7

Scroll Up

- HSF-IF.C.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.*
- HSF-IF.C.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- HSF-IF.C.9Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

Scroll Down

HSF-IF.C.7e

Scroll Up

- HSF-IF.C.7aGraph linear and quadratic functions and show intercepts, maxima, and minima.
- HSF-IF.C.7bGraph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
- HSF-IF.C.7cGraph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
- HSF-IF.C.7d(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.
- HSF-IF.C.7eGraph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

Scroll Down

## HSF-IF.C.7e

## Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

81 Lesson(s)

### Graphing Exponential Functions

12th Grade Math »
Unit: Exponential Functions and Equations

12th Grade Math »
Unit: Exponential Functions and Equations

Big Idea:

#### Using tables to graph exponential functions, students explore exponential growth & decay while idenitfying properties such as domain, range, & asymptotes.

Standards:

Favorites
(30)

Resources
(20)

Reflections
(1)

### Bunnies and Exponential Growth

12th Grade Math »
Unit: Exponential Functions

12th Grade Math »
Unit: Exponential Functions

Big Idea:

#### Students experience and describe exponential growth by looking at exponentially increasing bunny populations.

Standards:

Favorites
(15)

Resources
(17)

### Graphs of Sine and Cosine

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### Students get to build the graph of sine or cosine with yarn and spaghetti.

Standards:

Favorites
(10)

Resources
(47)

Reflections
(4)

### Graphing & Modeling with Exponents

Algebra II »
Unit: Exponents & Logarithms

Algebra II »
Unit: Exponents & Logarithms

Big Idea:

#### How high will the basketball bounce and will it ever stop? An exponential model sheds light on the question!

Standards:

Favorites
(3)

Resources
(22)

Reflections
(2)

### Catch the Mistake

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Mathematical Practice 3 takes center stage as students critique the reasoning of others for problematic questions.

Standards:

Resources
(9)

### Shifting Exponential Functions

12th Grade Math »
Unit: Exponential Functions and Equations

12th Grade Math »
Unit: Exponential Functions and Equations

Big Idea:

#### Building on yesterday’s idea, key features of exponential graphs, students see how parameter changes of the function can change these features.

Standards:

Favorites
(6)

Resources
(19)

Reflections
(1)

### Riding a Ferris Wheel - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use a Ferris wheel scenario to model sinusoidal functions.

Standards:

Favorites
(14)

Resources
(15)

Reflections
(2)

### "Demystifying e" Day #1

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson mixes the ingredients of lecture, investigation, application, and a touch of creativity to “Demystify e”!

Standards:

Favorites
(4)

Resources
(12)

### Extra Credit Quiz

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Students will have a powerful incentive to see what they remember from the first semester!

Standards:

Resources
(8)

Reflections
(1)

### Unit Review Game: The Row Game

12th Grade Math »
Unit: Exponential and Logarithmic Functions

12th Grade Math »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### Get everyone involved and incorporate movement using The Row Game.

Standards:

Favorites
(10)

Resources
(6)

### Inverse Trig Functions - Day 1 of 2

12th Grade Math »
Unit: Trigonometric Functions

12th Grade Math »
Unit: Trigonometric Functions

Big Idea:

#### Use a graphical perspective to establish inverse trig functions.

Standards:

Favorites
(4)

Resources
(12)

Reflections
(1)

### Midterm Review Workshop

12th Grade Math »
Unit: Midterm Review and Exam

12th Grade Math »
Unit: Midterm Review and Exam

Big Idea:

#### Students work on midterm review and let you know what they still need help with.

Standards:

Resources
(3)

### Transformations of Sine and Cosine Graphs

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### How many equations can on trig function actually have? Here's a hint... it's a lot more than one.

Standards:

Favorites
(2)

Resources
(32)

Reflections
(1)

### Compositions, Inverses & Role Play: Extending Concepts to Exponential Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Algebra II »
Unit: Exponential and Logarithmic Functions

Big Idea:

#### This lesson welcomes the students back from spring break with a transition to inverse functions. The element of “role play” helps to set the stage for the foundation of logarithms

Standards:

Resources
(13)

Reflections
(1)

### Graph of Tangent

Algebra II »
Unit: Trigonometric Functions

Algebra II »
Unit: Trigonometric Functions

Big Idea:

#### How can you use similar triangles to create the graph of tangent? Find out in this lesson.

Standards:

Favorites
(1)

Resources
(21)

Common Core Math

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### HS Number & Quantity

### HS Algebra

### HS Functions

### HS Geometry

### Kindergarten

### First Grade

### Second Grade

### Third Grade

### Fourth Grade

### Fifth Grade

### Sixth Grade

### Seventh Grade

### Eighth Grade

### Ninth and Tenth Grade

### Kindergarten

### First grade

### Second grade

### Third Grade

### Fourth grade

### Fifth grade

### Middle School

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

HS Number & Quantity

HS Algebra

HS Functions

HS Geometry

Kindergarten

First Grade

Second Grade

Third Grade

Fourth Grade

Fifth Grade

Sixth Grade

Seventh Grade

Eighth Grade

Ninth and Tenth Grade

Kindergarten

First grade

Second grade

Third Grade

Fourth grade

Fifth grade

Middle School