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3 years ago

EXTREMELY IMPORTANT HELP ME

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

4 0

Use it-awesome and really helps also can you type out math problem I cannot see clearly.

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Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

continuous at x=4? Why or why not? Choose the correct answer below.

Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

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3 years ago

igomit [66]

Step-by-step explanation:

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3 years ago

Tìm x, biết:Nêu điều kiện để x là căn bậc hai số học của số a không âm.

MArishka [77]

Answer:

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3 years ago

Consider this equation. cos(theta) = (-2√5)/5. If theta is an angle in quadrant II, what is the value of sin(theta)? NO LINKS!!!

vlada-n [284]

In second quadrant sin and cosec are positive

$\\ \tt\hookrightarrow sin^2\theta=1-cos^2\theta$

$\\ \tt\hookrightarrow sin^2\theta=1-(\dfrac{-2\sqrt{5}}{5})^2$

$\\ \tt\hookrightarrow sin^2\theta=1-\dfrac{20}{25}$

$\\ \tt\hookrightarrow sin^2\theta=\dfrac{5}{25}$

$\\ \tt\hookrightarrow sin\theta=\dfrac{\sqrt{5}}{5}$

$\\ \tt\hookrightarrow sin\theta=\dfrac{1}{\sqrt{5}}$

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3 years ago

Sarah has a garden. The four sides of the garden are made out of wood. The garden has four rows. In each row, there are three se

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12, because 4 rows and 3 sections in each

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3 years ago

EXTREMELY IMPORTANT HELP ME ​

EXTREMELY IMPORTANT HELP ME