Answer:
y-(-1)=-2(x-(-4))
Step-by-step explanation:
Answer:
the graph where it's going up (right)
Step-by-step explanation:
if you double 40 it will be 80. double 80 and you get 160 etc etc. this means the total bacteria only grows and the graph has to go all the way up
The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.
(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4) [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
=16x^2-64x+61
Answer:
1st sequence: f(n)=f(n-1)-5 with f(1)=62.
2nd sequence: f(n)=f(n-1)+9 with f(1)=-15.
Step-by-step explanation:
The first sequence, to get the next term you just subtract 5 from the previous term.
The recursive form is f(n)=f(n-1)-5 with f(1)=62.
The sequence, to get the next term you just add 9 to the previous term.
The recursive form is f(n)=f(n-1)+9 with f(1)=-15.