Find a reasonable estimate of function

Question

Discuss the below:

Interpreting a Function's Graph

Tasks:

1. Given the information on the graph, answer the following questions:

i. Explain why f represents the graph of a function.

ii. Use the graph to find a reasonable estimate of f (- 2).

iii. What is the domain of f?

iv. What is the range of f?

2. Given f(x) = 8x - 2 and g(x) = 2x - 3, find f - g.

3. Given f(x) = 5x + 7 and g(x) =5x - 1: Find (f o g) (x)

4. Given f(x) = -3x + 2 and g(x) = 2x + 9: Find (g o f) (x)

5. Given f(x) = 5x + 4 and g(x) = 3x - 8: Find f o g

6. Given f(x) = 2 - 2x and g(x) = -6x + 2, find f + g.

7. Find the center and the radius of a circle, given the following equation of the circle:

x² + y² = 100

8. Find the midpoint of the line segment with the given end points: ( 2 , 1 ) and ( 6 , 8 )

9. Find the distance between the pair of points: ( -1, -4 ) , ( -5 , -7 )

10. Find the distance between the pair of points: ( -2 , -6 ) and ( 7 , 3 )