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UNO [17]
2 years ago
8

Describe the continuity of the graphed function

Mathematics
1 answer:
marusya05 [52]2 years ago
5 0

we know that

Any function f(x) is continuous at x=a only if

\lim_{x \to a-} f(x) = \lim_{x \to a+} f(x)=f(a)

We can see that this curve is smooth everywhere except at x=3

so, we will check continuity at x=3

Left limit is:

\lim_{x \to 3-} f(x) = -\infty

Right limit is:

\lim_{x \to 3+} f(x) = +\infty

Functional value:

f(3)= DNE

we can see that left limit is not equal to right limit

so, limit does not not exist

so, this function is discontinuous at x=3

Since, limit does not  exist  

so, there will be non-removal discontinuity at x=3

so, option-C........Answer


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3 years ago
A kicker made 10 of his last 12 field goals. Predict about how many of his next 42 field goals the kicker will not make. Show yo
dimulka [17.4K]

The number of his next 42 field goals the kicker will not make will be 35.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A kicker made 10 of his last 12 field goals.

Predict the number of his next 42 field goals the kicker will not make will be

Let x be the number of his next 42 field goals the kicker will not make.

Then we have

x / 10 ≠ 42 / 12

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4 0
1 year ago
Please help!! What Find the Error and explain why it is wrong!
Nata [24]

Answer:

First image attached

The error was done in Step E, because student did not multiply 2\cdot x -8 by the negative sign in numerator. Step E must be \frac{2\cdot x -5}{(x+4)\cdot (x-4)}.

Second image attached

The error was done in Step C, because the student omitted the 2\cdot a \cdot b of the algebraic identity (a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}. Step C must be 5\cdot x = x^{2}+4\cdot x + 4

Step-by-step explanation:

First image attached

The error was done in Step E, because student did not multiply 2\cdot x -8 by the negative sign in numerator. The real numerator in Step E should be:

3-(2\cdot x -8)= 3-2\cdot x+8 = 11-2\cdot x

Hence, Step E must be \frac{2\cdot x -5}{(x+4)\cdot (x-4)}.

Second image attached

The error was done in Step C, because the student omitted the 2\cdot a \cdot b of the algebraic identity (a+b)^{2} = a^{2}+2\cdot a\cdot b +b^{2}. Step C must be 5\cdot x = x^{2}+4\cdot x + 4

And further steps are described below:

Step D

x^{2}-x+4 = 0

Which according to the Quadratic Formula, represents a polynomial with complex roots. That is: (a = 1, b = -1, c = 4)

D = b^{2}-4\cdot a\cdot c

D = (-1)-4\cdot (1)\cdot (4)

D = -17 (Conjugated complex roots)

Step E

(x-0.5-i\,1.936)\cdot (x-0.5+i\,1.936) = 0

Step F

x = 0.5+i\,1.936\,\lor\,x = 0.5-i\,1.936

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3 years ago
Please Help!! Emergency!! I will make you brainiest and give you 15 points!!!!!
bonufazy [111]

Answer:

see explanation

Step-by-step explanation:

Under a rotation about the origin of 90°

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What is 50 miles on 2.5 gallons as a unit rate
Bas_tet [7]
50/2.5= 20 Unit rate is 20 miles per gallon
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