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3 years ago

Use graphing technology to find the range of the function f(x)=x2 +6x+9

Mathematics

1 answer:

lbvjy [14]3 years ago

5 0

Answer:

See below.

Step-by-step explanation:

Refer to the graph.

The range of a graph is the span of y-values it covers.

From the graph, we can see that the span of y-values is all values greater than or equal to 0.

Therefore, our range is, in interval notation:

$[0,\infty)$

Note that we use brackets with the 0 because 0 is included in our range.

In set notation, this is:

$\{y|y\in\mathbb{R},y\geq 0\}$

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Consider the attached function - The values are?

kow [346]

To find the value f(-7), we just need to evaluate the function at $x=-7$ . In other words, we are going to replace $x$ with -7 in the function:
$f(x)=( \frac{1}{2} )^x$
$f(-7)=( \frac{1}{2})^{-7}$
$f(-7)=128$

Similarly, to find the value of f(5), we just need to evaluate the function at $x=5$ . In other words, we are going to replace $x$ with 5 in the function:
$f(x)=( \frac{1}{2} )^x$
$f(5)=( \frac{1}{2})^{5}$
$f(5)=0.031$

We can conclude that $f(-7)=128$ and $f(5)=0.031$

7 0

3 years ago

What is -7a - 5a + 1 + 9

stealth61 [152]

Answer:

2a+10 is your answer

6 0

3 years ago

18. Water is stored in a cylindrical tank with a diameter of 36 feet. The surface

Sidana [21]

Answer:

h = 21 feet

Step-by-step explanation:

surface area = 2 (pi) r^2 + (pi) × d × h

=(2 × (pi) × 18) + ((pi) × 36 × h)

=72(pi) × h

226.194671059 × h = 4750.1

h = 21 feet

5 0

3 years ago

Which measurement is closest to the area of the circle in square centimeters?

Fantom [35]

Answer:

u need to know the diamater measure first

Step-by-step explanation:

6 0

3 years ago

6:what=1:3 what:30=8:5

Anvisha [2.4K]

Answer:

x = 18 and x = 36

Step-by-step explanation:

let unknown value is x

6:x = 1:3

product of means = product of extremes

6*3 = 1 *x

18 = x

x:30=8:5

product of means = product of extremes

5x=180

x=180/5

x=36

4 0

3 years ago