All categories

2 years ago

What is the range of the function

Mathematics

1 answer:

alexandr1967 [171]2 years ago

7 0

Answer: Choice B

Range = {-3, 1, 5}

============================================

Explanation:

The domain is the set of all possible input x values. The range is the set of all possible y outputs.

Plug in each x value from the domain, one at a time, to get its corresponding range y value.

--------------------

Start with x = -3

f(x) = 2x+3

f(-3) = 2(-3)+3

f(-3) = -6+3

f(-3) = -3

So -3 is in the range.

--------------------

Move onto x = -1

f(x) = 2x+3

f(-1) = 2(-1)+3

f(-1) = -2+3

f(-1) = 1

1 is also in the range

--------------------

Finally plug in x = 1

f(x) = 2x+3

f(1) = 2(1)+3

f(1) = 2+3

f(1) = 5

The value 5 is the final value in the range.

--------------------

All of those values form the set {-3, 1, 5} which is the complete range.

You might be interested in

A man comes into a store and steals $100 from the register without the owner knowledge. Comes back and buys $70 worth of stuff a

emmainna [20.7K]

Answer

The owner lose is $100 .

Reason

As given

A man comes into a store and steals $100 from the register without the owner knowledge.

Comes back and buys $70 worth of stuff and the owner gives him $30 in change.

i.e First man steals $100 than give back to owner when he buys $70 worth of stuff and the owner gives him $30 in change.

Therefore the total owner lose is the sum of $70 worth of stuff and $30 in change.

Total owner lose = $70 + $30

= $100

Therefore the owner lose be $100 .

Hence proved

4 0

3 years ago

Read 2 more answers

What is the area of the donut?

mrs_skeptik [129]

6 x 4=24 so the area of the donut 24 which is the answer to the question

8 0

2 years ago

What is the circumference of the circle? Assume pi = 3.14

mezya [45]

Answer:

5 x 2 x 3.14 = 31.4

Formula of circumference:

radius(half of your diameter or given radius) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2(just always there when finding circumference)

6 0

2 years ago

Read 2 more answers

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$