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3 years ago

I need help someone please

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer: The answers are in the steps.

Step-by-step explanation:

A) 4 $\frac{1}{2}$ = 9/2 * 13 = 117/2

B ) 13 ( 58 + 1/2)

= 754 + 6.5

= 760.5

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soldier1979 [14.2K]

Corrected Question

Is the function given by:

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

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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:

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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

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step-3:

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