2 years ago

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

Mathematics

1 answer:

EleoNora [17]2 years ago

3 0

Answer:

Option A

Step-by-step explanation:

f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

<em>See attached graph for reference</em>

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2 years ago

Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe

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The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
y = 4x - 3/2

2. Exchange x and y
x = 4y - 3/2

3. Solve for y
4y = x + 3/2
y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
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Answer:
Pedro needs about 8 weeks to complete 30 assignments.

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2 years ago

Write a expression that shows 3 times the sixth power of 10

user100 [1]

(10 raised to the power of 6)×3

(10*6) ×3

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2 years ago

Question and answer choices are in the screenshot. THANK YOU!!

Anika [276]

I 11 x - 22 I > 22
∴ 11x-22 > 22          OR          (11x -22) < -22
∴ 11 x > 44             ::::::::          11x - 22 < -22
    x > 4                   ::::::::              x < 0

∴ x ∈ ( -∞ , 0 ) ∪ ( 4 , ∞)
∴ The correct choice is number 1
The solution is attached in the figure

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