Support · Mathematics Advanced 11–12 – Year 12 · Applications of calculus
Support Recognise that the equation dQ/dt = kQ where Q > 0, and its solution Q = Ae^(kt) represent exponential growth when k > 0 and exponential decay when k
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Graph the exponential functions y = k(a^x) and y = k(a^(- x)) for constants a and k where a > 0, a≠1 and k≠0, and identify its asymptote, y - intercept, domain and range
Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping
No checked resources on this prerequisite dot point yet.
Use digital tools to determine rational and irrational values of exponential and logarithmic expressions
Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping
No checked resources on this prerequisite dot point yet.
Describe the behaviour of y = k(a^x) and y = k(a^(- x)) as x→∞ and x→ - ∞
Mathematics Advanced 11–12 – Year 11 · Exponential and logarithmic functions Draft mapping
No checked resources on this prerequisite dot point yet.