Which graph shows the end behavior of the graph of f(x) = 2x^6 – 2x^2 – 5?
Answers
For the given function, f(x) = 2x^6 - 2x^2 - 5, as x becomes extremely large in either the positive or negative direction, the function value grows without bound, heading towards positive infinity. This behavior is a characteristic of functions with even degrees and positive leading coefficients.
Analyzing the end behavior of a function is a valuable tool in understanding how the function behaves as the input, denoted by 'x', approaches positive or negative infinity. In this case, we are given the function f(x) = 2x^6 - 2x^2 - 5 and tasked with determining its end behavior.
Degree of the Function: The degree of a function is the highest power of the variable it contains. In our function, the highest power of the variable 'x' is 6, as it appears in the term 2x^6.
Leading Coefficient: The leading coefficient is the coefficient of the term with the highest power. In our function, the leading coefficient is 2, associated with the term 2x^6.
With these pieces of information, we can deduce the end behavior of the function:
The degree of the function is 6, which is an even degree.
The leading coefficient is 2, and it's positive.
For a function with an even degree and a positive leading coefficient, the end behavior is as follows:
As x approaches positive infinity (+∞), the function value f(x) also approaches positive infinity (+∞).
As x approaches negative infinity (-∞), the function value f(x) also approaches positive infinity (+∞).
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Please I really need help with this question it’s due tomorrow!!
(1 point)
more than one
at least one
exactly one
Answers
A function is defined as a relation wherein one variable specifies a single value of another value. Function pairs is composed of an input and an output.
The answer is exactly one
Answers
Answer:
The possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
Step-by-step explanation:
The given parameters are;
The number of grandchildren in the family = 4
The product of the ages of the four grand children = 67184
The age of the youngest grandchild < 10
The age of the oldest grandchild = 30 + The age of the youngest grandchild
Let a represent the age of the youngest grandchild, and let b, and c represent the ages of the other two intermediate grandchild
Therefore, we have;
a < 10
The age of the oldest grandchild = a + 30 < 10 + 30
∴ The age of the oldest grandchild < 40
The product of the ages of the four grandchildren = a × b × c × (a + 30) = 67184
The factors of 67184 that are between 1 and 40 are;
1, 2, 4, 8, 13, 16, 17, 19, 26, 34, 38
Taking a = 8, we have;
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 8 × 38 = 342
Therefore. a × b = 67184/(a × (a + 30) = 196.44
Therefore, a ≠ 8
For a = 4, we have the age of the oldest grandchild = a + 30 = 4 + 30 = 34
The age of the oldest grandchild × The age of the youngest grandchild = a × (a + 30) = 4 × 34 = 136
Therefore. a × b = 67184/(a × (a + 30) = 494
We find that the other factors of 67184, which are 19 and 26 have a product of 494
Therefore, the possible ages of the four grandchildren are a = 4, b = 19, c = 26, and d = 34
To give, 4 × 19 × 26 × 34 = 67,184.
Answers
Answer:
Step-by-step explanation:
Simplify the following:
⇒-9 x + 12 x + 10
Grouping like terms:
⇒(12 x - 9 x) + 10
12 x - 9 x = 3 x:
⇒3 x + 10
Answers
Answers
Answer: your answer would be c (-12,-24)
Step-by-step explanation: the coordinates of R is (-2,-4) so you do 6 times -2 which gives you -12 and then 6 times -4 which gives you -24. You put the numbers together which makes (-12,-24).
I hope this helps you out stay safe.
Answers
Radius of your cylinder = 1/2 of the diameter =5 cm
Volume = π (5 cm)² (14 cm) = 350 π cm³ = 1,099.56 cm³ (rounded)