A figure is located at (0,0), (-3,-4), and (-3,0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.

given point coordinates has a created a 3d cone when it is rotated on the x-axis

Step-by-step explanation:

You need to plot the points given:

A(0,0) B(-3, -4), C(-3, 0)

then connect the points plotted (see image attached)

as you can see that the shape obtained is a right triangle,

height = 4 units

base = 3 units.

Now, when the right triangle is rotated about the x-axis (see image attached),

the 3-dimensional shape created is a cone,

whose radius is 4 units and  height is 3 units.  

therefore, the given point coordinates has a created a 3d cone when it is rotated on the x-axis

Step-by-step explanation:

The three points form a 3-4-5 triangle.  When rotated about the x-axis, the 3-D shape formed is a cone, where the height of the cone is 3 and the radius of the cone is 4.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

the answer should be a. snail