A-Level Maths B8-06 Functions: The Range of Modulus Functions

[@boink5226]

for q3 why is the lowest point -3,-5 and not 3,-5 isnt the modulus of x, 3

[@Dotto19]

You’re legend. Thank you sir 🙏🏾

[@KS-wp8br]

Why did we not substitute the domain x>-1 while finding out the range of the first number?

[@TLMaths]

If you sub in -1 you get 1. But the lowest point for the domain -1

[@lionface3175]

In question 3, how do you know x=-3 will exactly stop at y= -5? Will we be given grid paper to draw the graph ?

[@TLMaths]

You won't be given grid paper no. For the graph of y = |x + 3| - 5, the vertex can be immediately identified at (-3,-5) in the same way as you identify the turning point from the completed square form of a quadratic.

[@MrMossadiq]

Marvelous.

[@user-wy7pj]

thanks !!

[@tryingtolearnn]

for the first question, how is the y value 0 for -1? do I not go across and find the value?

[@TLMaths]

You don’t go across from where x=-1. From the graph you can see that the lowest point is when y=0, so that is the lowest value in the range.

[@fergusonmobile1812]

THANKYOU

[@kevinjanuario4608]

when working out the range how do you know if there's an = sign or not

[@TLMaths]

Can you point me to which one of the problems you'e not sure on, because it really depends on the restricted domain.

[@kevinjanuario4608]

@@TLMaths ok no never mind I understand it now