How to solve the problem

Which statement is true about the function f(x)= Vx?

saveliy_v [14]

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

As we know that the domain is the set of all possible input values or all x -values that a function passes through. In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

The domain of the given function

The domain of can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of

From the graph.

it is visible that the range of the given function

The range of can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

4 0

3 years ago

In rectangle GRAM below GA =4×+17 and MR= 7x-4 find the value of x and the lenghts of GA MR

il63 [147K]

Answer: x=7, GA=MR=14

Step-by-step explanation:

7 0

2 years ago

Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plo

Fudgin [204]

First we find the vertex of parabola $f(x)=-12 x^{2} +7$

The vertex of parabola is $( \frac{-b}{2a},f( \frac{-b}{2a}))$
Here,
b = coefficient of x term
a = coefficient of x² term

For given parabola, b = 0 , a = -12

So,
$\frac{-b}{2a}= \frac{0}{-24} =0$

And,

$f( \frac{-b}{2a} )=f(0) = -12(0)+7=7$

Thus the vertex of parabola is (0, 7)

To find another point on parabola, substitute x by 1.

$f(1)=-12( 1^{2}) +7=-12+7=-5$

So the second point on parabola is (1,-5)

The plot of parabola is shown in image below:

5 0

3 years ago

Read 2 more answers

What is the recursive formula of the geometric sequence?<br> 1, 5, 25, 125, 625, ...

Ilia_Sergeevich [38]

The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1

<h3>How to determine recursive formula of a geometric sequence?</h3>

Given: 1, 5, 25, 125, 625, ...

first term, a = 1

Common ratio, r = 25/5

= 5

n = number of terms

an = a × r^(n - 1)

= 1 × 5^(n - 1)

an = (1) × (5)^(n - 1) for n ≥ 1

Learn more about recursive formula of geometric sequence:

brainly.com/question/10802330

#SPJ1

4 0

2 years ago

What is the slope of the line?

vladimir1956 [14]

Answer:

8

Step-by-step explanation:

exponential growth

5 0

3 years ago