Can someone explain 9c to me please i don't understand where the values for h(a)=12 came from.
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#Solving Equations with functions
loud elbow
Here is the answer to the previous questions
brittle sable
Here is the answer to the previous questions
now draw the line y=12 (if u want to solve graphically)
loud elbow
now draw the line y=12 (if u want to solve graphically)
done
do i need to do it on desmos
loud elbow
to do it in an exam u would need to solve it algebraically
ill rather do it that way then
brittle sable
so find the equation of each line segment, set it euqal to 12 and solve for each x
loud elbow
so find the equation of each line segment, set it euqal to 12 and solve for each...
i understand i need to solve for x but where do i get the line segments from
cuz in the other questions it was easy cuz they gave it straight to you
brittle sable
i understand i need to solve for x but where do i get the line segments from
on the diagram find the equation of the line between -10 and -4 just like at GCSE
and similarly for between -4 and 6
you know, like grandient = change in y / change in x etc..
loud elbow
you know, like grandient = change in y / change in x etc..
yh
brittle sable
so just find the equations of those 2 lines
loud elbow
so just find the equations of those 2 lines
for the equation at the bottom of the first screen shot why is it 5/2+12 and not 5/2-12?
brittle sable
because the equation of the line between -4 and 6 has its y-intercept at 12?
loud elbow
so h(x) = 12 and h(x) = 5/2x. we -12 to get h(x) on its own making it 5/2x-12 however it cant be -12 simply because the y-intercept is positive
brittle sable
so h(x) = 12 and h(x) = 5/2x. we -12 to get h(x) on its own making it 5/2x-12 ho...
you're confucing the difference between an "equation" and an "identity"
loud elbow
equation has = and identity has <> right?
brittle sable
what h(x) = 5x/2 + 12 is saying is that for values of x between -4 and 6 the function h(x) will ALWAYS take the value 5x/2 + 12.
what h(x) = 12 is saying is when is our function h(x) with its corresponding definition equal to 12
brittle sable
equation has = and identity has <> right?
at a level they both just use "="
in reality when you define a function it should be h(x) := 5x/2 + 12
loud elbow
what h(x) = 5x/2 + 12 is saying is that for values of x between -4 and 6 the fun...
ok so there was no need for me to do any type of calculations cuz the 5/2x is simply a fact
brittle sable
ok so there was no need for me to do any type of calculations cuz the 5/2x is si...
basically ye
loud elbow
oh my i should of just looked down one more line they just equated it
loud elbow
however i dont underdand the top one cuz i did -4/6 = -2/3 then how did the y intercept become -6?
loud elbow
i think u kinda overthought about it
na fr