Starter Easy (hopefully) sub values into functions card activity
Harder one: A function is defined by : f(x) = (x+3)(x-5) Find the
inverse and state the domain and range of f(x) and f -1 (x) A
function is defined by : f(x) = (x-16)(x-4) Find the inverse and
state the domain and range of f(x) and f -1 (x) Homework: Edpuzzle:
Video on combined transformations and complete quiz New class code:
ejRZ9Y Functions recap and consolidation Recap all work on
functions. Go over harder inverse functions, particularly with e x
and ln x Reinforce other harder inverse functions such as
quadratics and algebraic fractions Inverse functions Inverse
functions only exist for one-one functions. Things to note.. The
domain of f -1 is the range of f and the range of f -1 is the
domain of f. The graph of an inverse function can be found by
reflecting a function in the line y=x Have a go: Functions and
Inverses card match ppt: 10 questions MWB: Inverse functions with e
x f(x) = e 2x x = e 2y x - 6 = e 2y-1 ln(x - 6) = ln e 2y-1 ln(x -
6) = 2y - 1 The inverse of f(x) is f -1 (x) = (ln(x-6) + 1) Domain
? ln(x - 6) +1 = 2y (ln(x - 6) +1) = y Domain is x > 6 Cannot
have ln of numbers less than 0 MWB: Inverse functions with ln x
f(x) = ln(2x) + 6 x = ln(2y) + 6 x - 6 = ln (2y) e x-6 = e ln 2y e
x-6 = 2y The inverse of f(x) is f -1 (x) = e x-6 Domain ? e x-6 = y
Have a Go General Functions questions 5 exam questions relay Skip
modulus questions ppt: 10 questions Plenary Plenary f(x) = x. x+1
Show that f -1 (x) = x Extension:
