Find the domain and range of the function. f(x)=|2x|-sin x
![Find the domain and range of the function fx2xsin x class=](https://us-static.z-dn.net/files/d09/55904755f5678956ab79de6b745631ce.png)
Answer:
Domain = (-∞,∞)
Range: [0,∞)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
The equation is:
f(x)=|2x|-sin(x)
From the graph we can see that
- the domain is equal to all real numbers.
- The range goes from [0,∞)
The correct answer is option d, but bear in mind that the range includes zero as well, so it would be Range: [0,∞)