Consider function f.



Which statement is true about function f?

A.
The function is continuous.
B.
As x approaches positive infinity, approaches positive infinity.
C.
The function is increasing over its entire domain.
D.
The domain is all real numbers.

Answer:

Step-by-step explanation:

Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0:  2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.

Now do the same thing with

-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4.  Thus, this function is not continuous at x = 2.  

We must reject statement A.

Statement B:  as x increases without bound, (1/2)x + 3 also increases without bound.  This statement is true.

Statement C:  False, because the quadratic -x^2 - 4x + 1 has a maximum at

x = -b/[2a], or x = -(-4)/[-2], or x = -2

Statement D:  True:  there are no limitations on the values of the input, x.

The statement B is as x approaches positive infinity f(x) approaches positive infinity is true

A point or level beyond which something does not or may not extend or pass.

We have to check for continuity by evaluating [tex]2^x[/tex] and [tex]-x^2 - 4x + 1[/tex]

at the break point x = 0

[tex]2^0[/tex]is 1 and [tex]-x^2 - 4x + 1[/tex] is also 1,

So these two functions approach the same value as x approaches 0.

Now do the same thing with

[tex]-x^2 - 4x + 1[/tex]and [tex](1/2)x + 3[/tex] at x = 2;

The first comes out to -11 and the second to 4.  

Thus, this function is not continuous at x = 2.  

We must reject statement A.

for B we have as x increases without bound,

[tex](1/2)x + 3[/tex]

also increases without bound.  

Therefore the statement B is true statement.

Statement C is  False,

because the quadratic[tex]-x^2 - 4x + 1[/tex] has a maximum at

[tex]x = -b/[2a],[/tex]

[tex]x = -(-4)/[-2],[/tex]

[tex]x=-2[/tex]

There are no limitations on the values of the input, x.

D is also false negative number are in real numbers.

Therefore,the statement B is as x approaches positive infinity f(x) approaches positive infinity is true

To learn more about the limit visit:

https://brainly.com/question/23935467

Please help me with this question.

Sarah had 25 candies. Sarah gave 2/5 of the candies to her sister. Of the amount left, she gave 2/3 to her friend. How many candies does Sarah have left for herself?

The box plot show the lengths of the songs on two digital music players in minutes .Which statement is best supported by the information in the box plots ?

Chris rents a car for a total of £375 The rental charges are £150 for the first day and £75 per day after that. For how many days did Chris rent the car? Show working

There are 240 girls at the park. There are 360 more boys than girls at the park.How many boys are at the park?

A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?

You have five seasons of your favorite TV show on DVD. If you randomly select two of them from a shelf, what is the probability that you will select season one first and season two second?



How many items are in the sample space? =?

(HINT: Think 5 seasons taken 2 at a time)

What is the probability that you will select season one, and then season 2?

Which graph represents the function f(x)=x2−49x+7?

Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt? Response area

LT1 10th grade level

Hi i need to identify the congruence postulation i think i need help.​

La suma de dos números enteros consecutivos es
menor que 57.

Code: (B+C) - (D+A)
Help me it’s a puzzle

Pamela is 9 years younger than Jiri. The sum of their ages is 67. What is Jiri's age?

HELP PLS
will give brainliesy!​

*Brainliest*
I need help with 4 problems like this...KHAN ACADEMY.

find the area of each figure. PLEASE ANSWER 13 & 14

factoring special case
factor each completely
9x2-1 ​

Solve for X.

Then, Solve for Y.

solve the inequality m - 3 less than -2

If the mass of the 5 coins is 25 grams, which measurement is closest to the total mass of the 2 pieces of candy?

Find the measure of angle ABD. Triangle ABD is an Isosceles Triangle.

Para llenar una piñata con dulces se necesitan 8.3 libras de dulces ¿cuantos kilogramos se tuvieron que comprar?

If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).

What is the answer to v/3 +17=19

I don't understand how to solve this

I WILL GIVE BRAINLIEST PLEASE HELP

1. Melanie invested $12,200 at 4.8% interest compounded semiannually, and she wants to know how much her investment will be worth in 8 years. (5 points: Part I – 1 point; Part II – 2 points; Part III – 1 point; Part IV – 1 point)
Part I: What is the periodic interest rate of Melanie's investment?

Part II: How many compounding periods does Melanie's investment offer in a year? How about in 8 years?

Part III: What expression can Melanie write to figure out how much her investment will be worth in 8 years?

Part IV: How much will Melanie's investment be worth in 8 years?

What is the perimeter of a rectangle which is 122 cm by 153 cm?

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Which expression is equivalent to 4 + 2(1 + 3x)? A 24x
B 6 + 6x
C 4 + 8x
D 6+18x



no links please​