Graph exponential, logarithmic, and trigonometric functions

Start lessonBegins with Exponential and log functions · Slides

Teacher tools for this standard

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

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.IF.C.7.e

**HSF.IF.C.7.e**: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

HSF.IF.C.7.e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

What you'll learn

Graph exponential functions f(x) = a*b^x, identifying the y-intercept, horizontal asymptote, domain, range, and growth/decay behavior
Distinguish between exponential growth (b > 1) and exponential decay (0 < b < 1) from both the equation and the graph
Graph logarithmic functions f(x) = log_a(x), identifying the x-intercept, vertical asymptote, domain, range, and end behavior
Recognize the exponential and logarithmic functions as inverses and connect their graphs via reflection over y = x
Graph trigonometric functions y = A sin(Bx) + D and y = A cos(Bx) + D, identifying amplitude, period, and midline
Use the parameters A, B, and D to transform the parent sine/cosine graph and label key features

Review first: