2 years ago

Use the graph of the function g to answer the following. use correct formatting for your work

Mathematics

1 answer:

netineya [11]2 years ago

6 0

9514 1404 393

Answer:

f(-2) = 4
f(1) = -5
D: [-3, ∞)
R: [-5, 11]

Step-by-step explanation:

You have marked the points on the graph corresponding to ...

f(-2) = 4

f(1) = -5

The domain is the horizontal extent, from x = -3 to +∞.

The range is the vertical extent, from y = -5 to +11 (inclusive).

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What are the zero(s) of the function f(x)=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%5E%7B2%7D-36x%20%7D%7Bx-9%7D" id="TexFo

Contact [7]

Answer:

Step-by-step explanation:

The function will be zero when the numerator is equal to 0. So, set the numerator equal to 0 and solve:

$0 = 4 {x}^{2} - 36x$

I will use the quadratic formula:

$\frac{ 36 + \sqrt{ {36}^{2} - 4(4)(0)} }{2(4)} \\ \frac{ 36 + 36}{8} = 9$

Therefore, x = 9 is a 0. Let's check with subtracted root now:

$\frac{ 36 - \sqrt{ {36}^{2} - 4(4)(0)} }{2(4)} \\ \frac{ 36 - 36}{8} = 0$

It appears 0 is also a root.

Therefore, the answer is D.

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