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3 years ago

What is the domain of the function?

Mathematics

1 answer:

jarptica [38.1K]3 years ago

5 0

Answer: The domain of this function is all real numbers less than or equal to 3.

Step-by-step explanation:

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Why do we divide by 4

Phantasy [73]

This kind of question would actually be very dependable. So, let's suppose that we would have a number as 16. We would then have to divide this number by 4, mainly because we would want to find how many 4's would go into the number 16. But this would actually be an example. So, whatever math problem you may have, just remember this technique, how many numbers would go into that specific number.

5 0

2 years ago

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]

Corrected Question

Is the function given by:

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

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.

3 0

2 years ago

I need help with this please!!!

Natasha_Volkova [10]

Answer:

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eve7dne

eveui2w

7 0

2 years ago

Please help with this question!

erma4kov [3.2K]

1 and 8
because they are exterior angles because they are on the outside and alternate because they are on opposite sides

7 0

3 years ago

Simplify the expression. (3.14×107)×(1.3×10−3)÷0.2 Scientific notation PLS!

marusya05 [52]

$3.14 \times 107 = 335.98$
$(335.98) \times (1.3 \times 10 - 3) \div 0.2$
$1.3 \times 10 = 13 - 3 = 10$
$(335.98) \times (10) \div 0.2$
$335.98 \times 10 = 3359.8$
$3359.8 \div 0.2 = 16799$
$1.6799 \times {10}^{4}$

5 0

2 years ago