Math III · F-IF.8

Rewrite functions in equivalent forms to reveal and explain useful properties.

Rewrite functions in equivalent forms to reveal and explain useful properties.

Concept Functions
Domain Interpreting Functions
Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Rewrite a polynomial in factored form to reveal its zeros

4 variants
Template 2

Determine polynomial end behavior directly from the leading term

4 variants
Template 3

Rewrite a rational function and classify all graph features

4 variants
Template 4

Rewrite an exponential function to reveal the growth or decay factor for a different time interval

4 variants
Template 5

Convert exponential and logarithmic forms and solve

4 variants
Template 6

Identify root graph features directly

4 variants
Template 7

Normalize a sine or cosine equation and read features

4 variants
Template 8

Choose the equivalent form that best reveals a requested feature of a function

4 variants
Template 9

Read the feature exposed by an equivalent form

4 variants
Template 10

Verify whether two function forms are equivalent on the same domain

4 variants
Template 11

Rewrite to a specified solvable form and finish the solution

4 variants
Template 12

Rewrite to expose and interpret a specified parameter

4 variants
Template 13

Choose the form that reveals one named graph feature

4 variants
Template 14

Decide whether a proposed rewrite keeps the same function and the same restrictions

4 variants