The function g(x) is written in a confusing way.
The most logical form for g(x) according to the parent fucntion and the statements is this:
g(x) = [(-1/2)x]³
So, I will answer the question with such g(x).
And I will explain each step such that this answer is useful for you.
Statetements:
<span>a) The graph passes through the origin → True
The origin is the point (0,0)
Then plug in 0 into g(x).
The result is [ (-1/2) (0)] ³, which is 0.
So, indeed the point (0,0), the origin is in the graph.
b) As x approaches negative infinity, the graph of g(x) approaches infinity → TRUE
As x approaches negative infinity the denominator g(x) becomes greater and greater.
Try this: g(-10) g(-100), g(-1000).
g(-10) = 5³
g(-100) = (50)³
g(-1000) = (500)³
That shows you the trend: g(x) approaches infinity when x approaches to negative infinity.
c) As x approaches infinity, the graph of g(x) approaches infinity.→ False
As x approaches infinity, the graph of g(x) approaches negative infinity.
For example g(20000) = [- (20000/2) ]³ = - (10000)³
And as x grows g(x) becomes more negative.
d) The domain of the function is all real numbers → TRUE
The function g(x) accepst any value of x.
e) The range of the function is all real numbers → TRUE
g(x) goes from - infinity to + infinity and is continuous.
f) The graph of the function has three distinct zeros → FALSE
The only zero of g(x) is for x = 0.
</span>
Answer:
binder: Liquid substance used in paint and other media to bind particles of pigment together.
fresco: Where pigments are mixed with water and then applied to a plaster support, usually a wall or a ceiling.
gouache: A type of watercolor in which white pigment is added creating a duller effect, and a tinted feel.
oil: Painting medium where pigments are binded using oils, usually linseed oil.
painting media: Material made of three components; pigment,vehicle, and binder
pigment: Ground up solids that contain color the color in paint.
tempera: A water based painting medium made with egg yolk, often used to paint frescos and panels.
vehicle: Adjusts the viscosity of the paint.
watercolor: Pigment that is mixed with arabic and gum, and mostly water before it is applied to the paper.
Painting Media
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Highlighter
CyanMagentaGreeenClear Highlights
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Step-by-step explanation:
Answer:
Look at the equations:
y
=
−
9
x
−
21
and
y
=
5
x
+
7
Because both equations equal (y), they both equal the same.
If an equations says "
y
=
−
9
x
−
21
" , that means we can replace (y) with
−
9
x
−
21
.
Therefore when i take the equation:
y
=
5
x
+
7
, we can replace (y) to get:
−
9
x
−
21
=
5
x
+
7
Now isolate (x):
−
9
x
−
21
=
5
x
+
7
⇔
−
21
=
14
x
+
7
⇔
−
28
=
14
x
⇔
x
=
−
2
Answer:
4
Step-by-step explanation:
A simple matter of using Pythagoras. The hypotenuse is the ladder, and one of the legs is the wall, and we have to figure out the value of the other leg.
The Pythagorean formuda is (hypotenuse = a): a² + b² = c² (b and c are the other sides)
applying the values: a = 5 and b or c is 3 (I'll put b = 3)
5² = 3² + c²
25 = 9 + c²
25 - 9 = c²
16 = c²
√16 = c
4 = c
c = 4
(6*10^20)-(29*10^16)=2068.97
my best guesstimate is 2000 times larger <span />