All categories

2 years ago

Can someone please help mee i need the exact answer(30 points will give brainliest!!!)

Mathematics

1 answer:

Bas_tet [7]2 years ago

6 0

The domain of the given graph is [−3, ∞) and the range is (−∞, 4].

We need to find the domain and range of the given graph.

<h3>What are the domain and range of the function?</h3>

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values that it can take.

We can observe that the graph extends horizontally from −3 to the right without a bound, so the domain is [−3, ∞). The vertical extent of the graph is all range values 4 and below, so the range is (−∞, 4].

Therefore, the domain of the given graph is [−3, ∞) and the range is (−∞, 4].

To learn more about domain and range visit:

brainly.com/question/1632425.

#SPJ1

You might be interested in

Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.

pogonyaev

We will see that g(x) is a reflection across the y-axis of f(x), then:

$g(x) = f(-x) = 3^{-x\\$

<h3>How to identify the function g(x)?</h3>

By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).

So we can write:

g(x) = f(-x)

Here we know that:

$f(x) = 3^x$

Then, replacing f(x) on the formula for g(x), we get:

$g(x) = f(-x) = 3^{-x\\$

That is the function g(x) shown in the figure.

If you want to learn more about transformations:

brainly.com/question/4289712

#SPJ1

3 0

2 years ago

How many 4/3 cup servings are in 6 cups of soup a. 4 1/3 b. 4 1/2 c. 8 d. 8 1/3

REY [17]

Answer:

B.) 4 1/2

Step-by-step explanation:

$\frac{4}{3} x=6$

$x=\frac{9}{2}$

$9/2=$ 4 1/2

Hope this helped! :)

5 0

3 years ago

Read 2 more answers

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

What is the midpoint of the segment shown below?

Aleksandr-060686 [28]

Answer:

The correct answer choice is D

3 0

2 years ago

mr.two brought in cookies for his class. He gave out half of them in the morning . At lunch he gave out 14 more. He then had 8 c

shutvik [7]

He had 44 cookies because if he gave out half of them then you would add what he had left after he gave the other half of them away which 14+ 8 is 22 and 22×2 is 44 so the answer is 44 cookies

5 0

3 years ago

Read 2 more answers