Question

Below is the graph of f(x) and the linearfunction g(x).Question) compare the two functions when×=3. Remember to show any work and writeyour final comparison in the form of acomplete sentence.

Answer 1

The function represented by the graph is f(x). We want to find the value of y when x = 3. We would do this by locating x = 3 on the horizontal axis, tracing a vertical line upwards from this point to touch the line of the graph. Then, we would locate the y value on the vertical axis coresponding to the point of intersection. From the graph,

at x = 3, y = 2

f(3) = 2

The second function is expressed as

g(x) = - 4x + 11

To find y or g(3) when x = 3, we would substitute x = 3 into the function. We have

y = - 4(3) + 11 = - 12 + 11

y = - 1

g(3) = - 1

At x = 3, the value of f(3) is greater than the value of g(3)