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Leni [432]
4 years ago
9

For what value of the constant c is the function f continuous on the interval (−[infinity],[infinity]). f(x)={cx2+6x,x 3−x,x<

2 x≥2
Mathematics
1 answer:
jonny [76]4 years ago
7 0

Answer:

-3/2

The problem:

Find c so the function f is continuous.

f(x)=cx^2+6x, x

f(x)=x^3-x,x \ge 2

Please read my interpretation of the problem above.

Step-by-step explanation:

If we want f continuous at x=a, then we want the following things:

\lim_{x \rightarrow a}f(x)=f(a) (This means the left and right limits at x=a need to equal.)

Of course the limit and f(a) need to both be a number.

So we want to basically solve the following equation:

c(2)^2+6(2)=(2)^3-(2)

c(4)+12=8-2

4c+12=6

Subtract 12 on both sides:

4c=-6

Divide both sides by 4:

c=\frac{-6}{4}

Reduce:

c=\frac{-3}{2}

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Y = x4 - 3x2 + 4
Ostrovityanka [42]

The equation represents both a relation and a function

<h3>How to determine if the equation represents a relation, a function, both a relation and a function, or neither a relation nor a function?</h3>

The equation is given as

y = x^4 - 3x^2 + 4

First, all equations are relations.

This means that the equation y = x^4 - 3x^2 + 4 is a relation

Next, the above equation is an even function.

This is so because

f(x) = f(-x) = x^4 - 3x^2 + 4

This means that the equation is also a relation

Hence, the equation represents both a relation and a function

Read more about functions and relations at:

brainly.com/question/6904750

#SPJ1

3 0
1 year ago
How do I solve thses?
kap26 [50]

Answer:

-6 -4 -7 0

Step-by-step explanation:

hope this helps :)

8 0
4 years ago
Which decimal is equivalent to
antiseptic1488 [7]

Answer:

4.75

Step-by-step explanation:

19 goes into 4 4 times, so we are left with 4 3/4. 3/4 is 0.75, so we have 4.75 as our answer.

8 0
4 years ago
Read 2 more answers
Please help ! ASAP step by step explanation please ​
fredd [130]

Answer:

0

Step-by-step explanation:

→ First find inverse cosine 1/2

60°

→ Now multiply this answer by 3 because then if you substitute it in you get 0.5

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→ Now find sine of 180°

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3 0
2 years ago
Maria bought 3 chocolates. Aaliyah bought c times as many chocolates as Maria. Write an
Alona [7]

Answer:

Aaliyah bought 3c and Mari bought 3

Step-by-step explanation:

Maria - 3 chocolates consider as variable Y

Aaliyah bought c times as Maria

So 3c

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3 0
3 years ago
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