F10 – Unit 3 – Relations and FunctionsLesson 5 – Sketching Graphs

Lesson 5 – Sketching GraphsSketching a Graph from a TableExample 1: This graph shows the number of fishing boats, n, anchored in an inlet in the Queen Charlotte Islands as a function of time, t.Number of Boats Time25 9:0010 10:008 11:006 12:006 13:0010 14:0011 15:0015 16:00

You don’t always connect the dots in a graph. Would you connect the dots of this graph? Why or why not?

Which is your independent variable? Dependent variable?

4) This graph shows the approximate height of the tide, h metres, as a function of time, t, at Port Clements, Haida Gwaii on June 17, 2009.

Would you connect the dots of this graph? Why or why not?

Which is your independent variable? Dependent variable?

Date: _______________

Height of Tide (m) Time0.9 9:001.2 10:001.4 11:001.5 12:001.5 13:001.4 14:001.2 15:000.9 16:00

F10 – Unit 3 – Relations and FunctionsLesson 5 – Sketching Graphs

Determining Values from a Graph of a Function

The domain value, x value, is the value of x.

The range value, y value, is the value of f(x).

Here is the graph of the function f (x) = -3x + 7

a) Determine the range value when the domain value is -2

b) Determine the domain value when the range is 4.

c) Determine F(-3)

d) Determine F(x) = 7

Date: _______________

F10 – Unit 3 – Relations and FunctionsLesson 5 – Sketching Graphs

Date: _______________