The end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]
How to determine the end behavior?
The function is given as:
[tex]h(x)= -7x^6+3x^4-5x^2[/tex]
Next, we plot the graph of the function (see attachment)
From the attached graph, we can see that:
The function approaches negative infinity, irrespective of the direction of the x value
Hence, the end behavior of the function is [tex]\mathrm{as}\:x\to \:+\infty \:,\:h\left(x\right)\to \:-\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:h\left(x\right)\to \:-\infty \:[/tex]
Read more about end behavior at:
https://brainly.com/question/27514660
#SPJ1
