FUNCTIONS MASTER CLASS| Grade 12 Mathematics Paper 1 Revision LIVE SESSION 3 PART 1|Exam Preparation

[@dieumelamwenyi4762]

I like how sir elaborate on everything, instead of just giving answers. THANK YOUU

[@mathsandscienceaid]

It’s a pleasure!✨ I’m glad that you appreciate and find that helpful. Thanks for your comment❤️

[@dieumelamwenyi4762]

I dont understand the very lost question(5.7) on there having only one root😭. Is it because since the graph of g will move 9 units down, it's turning point will be below the x-axis and it won't have x intercepts?

[@mathsandscienceaid]

Basically, what you need to understand is that the left hand side of the equation in 5.7 is simply f(x), but with a horizontal and vertical shift applied, and the right hand side is g(x), with the same horizontal shift and vertical shift applied as for f(x). Since both f(x) and g(x) are shifted in the same way relative to each other, we can just use their graphs as they are to solve the problem. Since the equation provided in the question is obtained by equating f(x) and g(x), its roots provides the points of intersection between f and g. And based on the graph we can see that there is only one possible point of intersection. Therefore, there is only 1 possible root. I will try to find a way to explain it better in another video.

[@dieumelamwenyi4762]

@@mathsandscienceaid okay thank you

[@mathsandscienceaid]

Thanks again for raising this question. I totally get the confusion, in the video I said we need to identify how many intercepts the functions have, but I meant to say “intersections” 😭🤦🏾‍♂️. Stay tuned, I have edited the video now and removed that part, I will clarify it in the next live stream.

[@dieumelamwenyi4762]

@@mathsandscienceaid okay thank you! Please do more videos for functions and calculus too🙏🏽

[@sibongilenzuza7006]

@@mathsandscienceaid