Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Counting & Binomials
  • Proof and Reasoning
  • Complex Numbers
  • Cartesian plane & lines
  • Quadratics
  • Function Theory
  • Transformations & asymptotes
  • Polynomials
  • 2D & 3D Geometry
  • Trig equations & identities
  • Vectors
  • Probability
  • Descriptive Statistics
  • Distributions & Random Variables
  • Differentiation
  • Integration
  • Differential Equations
  • Maclaurin
Other
  • Review Videos
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex

    Function Theory (Lesson 1/3)

    Functions and their properties

    1 / 19

    Discussion

    Suppose your phone charges from 0% to 100% in I4​ hours, where I is the electric current (amps/hour) supplied by your charger. Imagine you can make the current as weak or strong as you want.

    (a)

    What are the possible values for I?

    Solution:

    The charging time is given by

    I4​ hours

    A zero or negative current would never charge the phone (zero current gives infinite time; negative would drain its battery). Therefore,

    I∈(0,∞).