Question

. G(x) is the function defined by the following graph. The graph window is: [-3,5,1] by [-60,80,10]

Answer 1

We are given a function and we are asked the following questions:

Part 1. Evaluate G(-1). The value of G(-1) is the value of the independent variable, that is the vertical axis when the dependent variable is -1, that is the horizontal axis. To find the value we draw a vertical line perpendicular to the horizontal at the value -1, until we intercept the graph, from there we draw a vertical line until we intercept the vertical axis. From the graph we see that:

$G(-1)=20$

Part 2. Evaluate G(2). This is the value of the independent variable when the dependent variable is 2. From the graph we see:

$G(2)=-10$

Part 3. Determine:

$\frac{G(-1)^3-G(2)^2+4G(-1)}{10}$

Replacing the known values:

$\frac{(20)^3-(-10)^2+4(20)}{10}$

Solving the operations:

$\frac{8000-100+80}{10}=\frac{7980}{10}=798$