Question

The table represents a function F in the graph represent a function G the line of symmetry for function F is blank in the line of symmetry for function G is blank 

Answer 1

• Line of symmetry for f : x = 2
  
• Line of symmetry for g : x = 1
  
• y-intercept answer: greater than
  
• average rate of change answer: less than

Explanation:

You have got the line of symmetry values correct.

Line of symmetry is an imaginary line which splits the function values into two symmetrical values around the line

Line of symmetry for f : x = 2
Line of symmetry for g : x = 1

The y intercept of a function is the value of y when x = 0
For function f, at x = 0, y = -5
For function g, looking at the graph, for x = 0 y = -6

Since -5 > -6 the answer is greater than

To find the average rate of change ARC for a function f(x) over an interval [a, b}, the equation is

`ARC = (f(b) - f(z))/(b - a)`

b - a = 4 -2 = 2 for both functions

For function f
f(4) = -5, f(2) = -9
f(4) - f(2) = -5 - (-9) = -5 + 9 = 4

ARC(f) = 4/2 = 2

For function g
g(4) = 2, g(2) = - 6
g(4) - g(2) = 2 - (-6) = 2 + 6 = 8
ARC(g) = 8/2 = 4

So the answer to this part is less than