All categories

3 years ago

What are the domain and range of the function f(x)=-3(x-5)2 +4?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer:

D=(-infinity, +infinity)

R=(-infinity, 4]

Step-by-step explanation:

I think that 2 is an exponent so you function is f(x)=-3(x-5)^2+4

So if this is the case this is a parabola open down when a vertex of (5,4).

Visualize or draw a rough picture of that because that is all you need to answer this question.

The domain for a parabola function is always all real numbers (do notice I said parabola function).

The range for this parabola is (-infinity, 4] since open down and the highest point has y value 4.

You might be interested in

In a class of 28 students, 12 earned an A on the final exam, 6 earned a B, 4 earned a C, and the remaining students failed. Base

Sedaia [141]

Answer:

5/14 ≈ 35.7%

Step-by-step explanation:

(12 +6) = 18 of the 28 students earned an A or a B. So, the experimental probability that a student did not earn that grade is ...

p(<B) = (28 -18)/28 = 10/28

p(<B) = 5/14 ≈ 35.7%

6 0

4 years ago

[(3 x 8) + 2?] + 6 - 2 Write out the steps Jayden will have to take in the yellow box? what are the steps?

nlexa [21]

Answer:

[(3*8)+2]+6-2

PEMDAS

There are parentheses so solve what is in them

3*8=24

[24+2]

26+6-2

Do the addition

32-2

30 is your answer

30 steps

7 0

3 years ago

Geometry and perimeter help plz :(

anastassius [24]

Answer:

11) 1.9ft

12) 8.7mi

13) 7ft

14) 6ft

15) 9mi

7 0

3 years ago

Read 2 more answers

How can I simplify this expression

kodGreya [7K]

Usually, "simplify" means to remove any common factors and express the sum as a single fraction, often in multiplie-out form.

If you factor what you've got, you will write it as
$\dfrac{(m+2)(m-2)}{(m+1)}+\dfrac{(m+2)}{(m+1)^2}=\dfrac{m+2}{m+1}\cdot\left((m-2)+\dfrac{1}{m+1}\right)\\\\=\dfrac{m+2}{m+1}\cdot\dfrac{(m-2)(m+1)+1}{m+1}\\\\=\dfrac{(m+2)(m^2-m-1)}{(m+1)^2}\\\\=\dfrac{m^3+m^2-3m-2}{m^2+2m+1}$

8 0

3 years ago

For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po

9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

$\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)$

If you equals this derivative to zero you obtain the value of the angle:

$\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}$

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.

hence, the answer is:

$\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}$

answer b

7 0

3 years ago