Chapter 1.8, Problem 24HP

To determine

To describe: the key features of a graph using a table of values for a function.

Answer to Problem 24HP

The distance from Earth to Earth’s moon is 240 thousand miles.

Explanation of Solution

Given information:

Given graph,

  

Calculation:

Functions look like as follow

  $y=f\left(x\right)$

Then key features of functions are

1. Domain
2. Range
3. $x$-intercept
4. $y$-intercept
5. Maxima
6. Minima
7. Paint of Inflexion
8. Increasing
9. Decreasing

Hence above key feature will be similar if functions are same.

Now, consider a function as

  $y=x^2$

Now, create a table of values as shown:

$x$	$y=x^2$	$\left(x,y\right)$
$1$	$1$	$\left(1,1\right)$
$-1$	$1$	$\left(-1,1\right)$
2	4	$\left(2,4\right)$
$-2$	4	$\left(-2,4\right)$

Now, plot the points and graph the function.

  

Domain and range of the function is set of all real numbers.

x and y -intercepts of the function is $\left(0,0\right)$ .