Create value tables and draw, identify, and analyze graphs for functions such as y = x + x - 4, y = 2x + n (where n can be -2, -1, 0, 1, 2, 3), y = ax (with a being a rational number), and y = ab + c (where b is a positive integer). Additionally, solve related equations graphically, such as determining where a line intersects a curve and finding roots using graphical methods. Also, draw and interpret graphs that depict exponential growth and decay scenarios.

Quick explanation

Create value tables and draw, identify, and analyze graphs for functions such as y = x + x - 4, y = 2x + n (where n can be -2, -1, 0, 1, 2, 3), y = ax (with a being a rational number), and y = ab + c (where b is a positive integer). Additionally, solve related equations graphically, such as determining where a line intersects a curve and finding roots using graphical methods. Also, draw and interpret graphs that depict exponential growth and decay scenarios

• This point belongs to Graphs of functions, especially Graphs of functions outcomes.
• You need to be able to create value tables and draw, identify, and analyze graphs for functions such as y = x + x - 4, y = 2x + n (where n can be -2, -1, 0, 1, 2, 3), y = ax (with a being a rational number), and y = ab + c (where b is a positive integer). Additionally, solve related equations graphically, such as determining where a line intersects a curve and finding roots using graphical methods. Also, draw and interpret graphs that depict exponential growth and decay scenarios.
• The key ideas to know are Construct, Plot, and Show.
• Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.