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>
The distance between you and your friend rounded to the nearest tenth is 10.7 feet.
<h3>How to find the length of a triangle using cosine rule?</h3>
The distance between you and your friend can be found using cosine rule.
Therefore,
c² =a² + b² - 2ab cos C
Therefore,
let
x = distance between him and his friend
x² = 7² + 6² - 2 × 7 × 6 cos 110°
x² = 49 + 36 - 84 × -0.34202014332
x² = 49 + 36 + 28.7296920394
x² = 113.729692039
x = √113.729692039
x = 10.6644124076
x = 10.7 ft
learn more on triangle here: brainly.com/question/2838446
Answer
A = 35 degeres and B = - 12
Step-by-step explanation:
Find area of each of the faces.
4 triangle faces: 1/2 x b x h
1/2 x 8 x 10 = 40
40 x 4 (because there are four of them) = 160
one square bottom:
s^2
8^2 = 64
160 + 64 = 224
Answer:
The correct answer is C.
Step-by-step explanation:
The given equation is;
This implies that;
Let us write in Cartesian coordinates by substituting;
Square both sides;
This implies that;
This is an equation of a parabola that opens upwards with a y-intercept of .
The correct choice is C