Common Core · High school
HSF-IF.C.7.E
High school — Graph exponential and logarithmic functions, showing intercepts and end behaviour, and trigonometric functions, showing period, midline and amplitude.
The 2 skills that cover it
- Exponential & Logarithmic EquationsSolve for an exponent by taking a logarithm and for a logarithm by rewriting in exponential form, check every answer against the domain, and use the method on doubling times, pH, decibels and radioactive dating.Read the lesson →
- Graphs of Sine & CosineUnroll the unit circle into a wave: read the amplitude, period, midline and phase shift of y = a sin(b(x - h)) + k off its equation and its graph, and write the equation of a wave you are shown.Read the lesson →
What a student should be able to do
- Solve an exponential equation by matching bases or by taking a logarithm of both sides.
- Solve a logarithmic equation by rewriting it in exponential form or by condensing first.
- Reject a solution that makes the argument of a logarithm zero or negative.
- Find the time for an exponential model to reach a given amount.
- State the amplitude, period and midline of a sine or cosine function from its equation.
- Find the phase shift and the direction of a reflection.
- Write the equation of a sine or cosine wave from its features or its graph.
- Model a periodic situation, such as a tide or a wheel, with a sinusoidal function.