All categories

3 years ago

Which graph represents the piecewise-defined function?

Mathematics

2 answers:

Mrac [35]3 years ago

8 0

Answer:

LAST GRAPH is right

Step-by-step explanation

kifflom [539]3 years ago

5 0

Answer: The first option is correct.

Explanation:

The given piecewise function is,

$y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x$

From the piecewise function we can say that if x<0, then

$f(x)=-\frac{4}{5}x-3$

If $x\geq2$ , then

$f(x)=3x-10$

Since the f(x) is defined for x<0 and $x\geq2$ , therefore the function f(x) is not defined for $0\leq x$ .

In the graph 2, 3 and 4 for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for $0\leq x$ , hence the first option is correct.

You might be interested in

What is 8:6 simplified

amid [387]

Answer:

4:3

Step-by-step explanation:

8/2=4

6/2=3

5 0

3 years ago

Read 2 more answers

The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate,

Brrunno [24]

Answer:

192 $ft^2$

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

$\pi$ is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. $Volume =\frac{4}{3}\pi r^3$

2. $Surface\ Area = 4\pi r^2$

Given volume is 256 ft³.

$256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}$

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

$Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}$

So, approximate surface area of sculpture is 192 $ft^2$ .

3 0

3 years ago

Find the coordinates of the midpoint (M) of PQ.

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Givens

P is (2,8)

Q is (-6,-6)

Equation

Midpoint = (x1 + x2)/2,(y1 + y2)/2

Solution

x1 = - 6

x2 = 2

y1 = -6

y2 = 8

M = (-6 + 2)/2, (-6+8)/2

M = -4/2, 2/2

M = -2 , 1

Just to make sure that you know that the answer is reasonable, I've put the midpoint (-2,1) on a graph with the two endpoints. You could print the points out and check it with a ruler.