Answer :
Final answer:
To graph the function f(x)=2x^6 - 2x^2-5, you need to calculate y-values for several x-values, plot these data pairs on a graph, and draw a curve that fits the plotted points. The graph allows you to understand how y-values change with changes in x-values.
Explanation:
To graph the function f(x)= 2x^6 - 2x^2-5, first, you need to plug in various values for x and find the corresponding y value using the equation provided. This is similar to creating the dependence of y on x. Specifically, when the value of y is changing as a function of x, a graph of this change can be plotted or sketched.
For example, if we use the (x,y) data pairs such as the ones presented in the table: (1,5), (2,10), (3,7), and (4,14), we plug in those x-values into the equation and calculate the corresponding y-values. Then we plot these points on a graph and draw a line or curve that best fits these points. This curve or line is the graphical representation of the function.
The resulting graph will allow you to visualize how the y values change as x changes and it gives you a sense of how the function behaves for different x values. In essence, it represents the strategy to graph a function. For more complicated functions like this one, you may need to use a graphing calculator or software to accurately produce the function's graph.
Learn more about Graphing Functions here:
https://brainly.com/question/30465940
#SPJ1
