Answer:
slope= ∞ or slope= -∞
Step-by-step explanation:
The steepest slope is that of the line that is closest to being vertical. This could be a line that has positive slope OR negative slope
the steepest one should be determined by examining the ABSOLUTE VALUES of slope
As a line is vertical when it has slope +∞ or -∞, Therefore line with slope equal either of the 2 values has the steepest slope
Due to <em>length</em> restrictions, we kindly invite to check the explanation of this question to understand the derivation of the <em>polynomic</em> expressions.
<h3>How to determine a family of cubic functions</h3>
<em>Cubic</em> functions are polynomials of grade 3. In this case, we have pairs of <em>cubic</em> functions of the following form:
y = (x - h)³ + k (1)
y = - (x - h)³ + k (2)
a) Where (h, k) are the coordinates of the vertex of each <em>cubic</em> function. There is a translation of (x, y) = (3, 1) between each two <em>consecutive</em> pairs of <em>cubic</em> functions. Hence, we have the following fourteen cubic functions:
- y = (x + 9)³ - 3
- y = - (x + 9)³ - 3
- y = (x + 6)³ - 2
- y = - (x + 6)³ - 2
- y = (x + 3)³ - 1
- y = - (x + 3)³ - 1
- y = x³
- y = - x³
- y = (x - 3)³ + 1
- y = - (x - 3)³ + 1
- y = (x - 6)³ + 2
- y = - (x - 6)³ + 2
- y = (x - 9)³ + 3
- y = - (x - 9)³ + 3
b) Another family of functions with a similar pattern is shown below:
- y = (x + 9)² - 3
- y = - (x + 9)² - 3
- y = (x + 6)² - 2
- y = - (x + 6)² - 2
- y = (x + 3)² - 1
- y = - (x + 3)² - 1
- y = x²
- y = - x²
- y = (x - 3)² + 1
- y = - (x - 3)² + 1
- y = (x - 6)² + 2
- y = - (x - 6)² + 2
- y = (x - 9)² + 3
- y = - (x - 9)² + 3
To learn more on cubic functions: brainly.com/question/25732149
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Answer:
The degree of this polynomial is 2.
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.
The given polynomial is:
The only variable is m.
The power of m in all terms is 2.
So, the degree of this polynomial is 2.
