GCSE Secondary Maths Age 13-17 - Graphs: Graph of y = f(x) - Explained

The video tutorial explains how to analyze a graph of y = F(x). It covers finding the turning point, determining the roots where F(x) equals 2, and evaluating the function at x = 0.5. Each part is explained with step-by-step instructions, emphasizing careful reading of the graph and understanding the scale. The tutorial highlights the importance of interpreting graph features accurately to solve mathematical problems.

What are the coordinates of the turning point of the graph y = F(x)?

• (1, 4)

• (0, 3)

• (3, 1)

• (2, 5)

Which x-values correspond to the roots of the equation F(x) = 2?

• 1.4 and -1.4

• -1.4 and 1.4

• 0.4 and -2.4

• -0.4 and 2.4

What is the value of F(0.5) according to the graph?

• 3.0

• 4.0

• 2.5

• 3.7

What range of values is accepted for F(0.5) on the solution sheet?

• 3.7 to 3.8

• 3.5 to 3.6

• 3.6 to 3.7

• 3.8 to 3.9

Why is it important to carefully read the question requirements in graph-related problems?

• To ensure you find the correct values of x or y

• To memorize the graph

• To draw the graph accurately

• To calculate the slope