Answer:
We have: g(x)=(x+2)(x-1)(x-2)
multiply the 3 terms:
- (x+2)(x-1)(x-2)
- (x²-4)(x-1)
- x^3 -x²-4x+4
This is a polynimial function with 2 vertices
The roots are approximatively:
0.8 and -1.5
their images are:
1.9 and 8.8
plot these two vertices and draw some other points
here is a drawing:
Answer:
27
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.<span><span>(<span><span>−∞</span>,∞</span>)</span><span><span>-∞</span>,∞</span></span><span><span>{<span>x|x∈R</span>}</span><span>x|x∈ℝ</span></span>Find the magnitude of the trig term <span><span>sin<span>(x)</span></span><span>sinx</span></span> by taking the absolute value of the coefficient.<span>11</span>The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.<span><span>y=<span>−1</span></span><span>y=<span>-1</span></span></span>The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.<span><span>y=1</span><span>y=1</span></span>The range is <span><span><span>−1</span>≤y≤1</span><span><span>-1</span>≤y≤1</span></span>.<span><span>[<span><span>−1</span>,1</span>]</span><span><span>-1</span>,1</span></span><span><span>{<span>y|<span>−1</span>≤y≤1</span>}</span><span>y|<span>-1</span>≤y≤1</span></span>Determine the domain and range.Domain: <span><span><span>(<span><span>−∞</span>,∞</span>)</span>,<span>{<span>x|x∈R</span>}</span></span><span><span><span>-∞</span>,∞</span>,<span>x|x∈ℝ</span></span></span>Range: <span><span>[<span><span>−1</span>,1</span>]</span>,<span>{<span>y|<span>−1</span>≤y≤1</span><span>}
</span></span></span>
Answer:
Equation: 
Step-by-step explanation:
The equation that represents a direct variation between variable x and variable y is given as 
. Where, k is the constant of proportionality.
Find the value of k given that x = ⅓ and y = 12.
Plug the values into the equation.
Multiply both sides by 3
Substitute the value of k into
Equation:
<h2>
Answer:</h2>
4.82 × 10⁻⁴
<h3>
Explanation:</h3>
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
