Chapter 9.9, Problem 16PPS

To determine

Whether the ordered pairs represent a linear function, a quadratic function, or an exponential function

Answer to Problem 16PPS

The graph is exponential function

Explanation of Solution

Given:

The point, $\left(-3,0.25\right),\left(-2,0.5\right),\left(-1,1\right),\left(0,2\right)$ .

Concept Used:

In rectangular coordinate system any point be in the form of $\left(x,y\right)$ .

• In Quadrant I, both the coordinates of ordered pair are positive, that is, $\left(+,+\right)$ .
• In Quadrant II, first number is negative and second is positive, that is, $\left(-,+\right)$ .
• In Quadrant III, both the coordinates of ordered pair are negative, that is, $\left(-,-\right)$ .
• In Quadrant IV, first point is positive and second is negative, that is, $\left(+,-\right)$ .

In order to plot the points $\left(-3,0.25\right),\left(-2,0.5\right),\left(-1,1\right),\left(0,2\right)$ in graph

To plot the graph of the point $\left(-3,0.25\right)$ first move 3 units to the left starting from origin and then move 0.25 units up

To plot the graph of the point

  $\left(-2,0.5\right)$ first move 2 units to the left starting from origin and then move 0.5 units up

To plot the graph of the point $\left(-1,1\right)$ first move 1 units to the left starting from origin and then move 1units up

To plot the graph of the point $\left(0,2\right)$ first move 0 units to the right starting from origin and then move 2 units up

The graph of the point is shown below:

  

Thus, the points are in exponentially increased

So the graph is exponential function