Answer: (-∞, 0)The graph of the parent absolute value function is decreasing over the interval (–∞, 0)
The graph drawn for the absolute value parent function is usually made up of two linear "pieces" which meet at a common vertex (the origin; 0, 0). The graph is symmetric around the y axis and generally takes a V shape or an inverted V shape. The absolute/relative minimum of the graph is 0 but there it has no absolute maximum; so the absolute maximum is usually represented by ‘∞’ (infinitive). Typically, the graph of the parent absolute value function is increasing over the interval (0, ∞), and is decreasing over the interval (-∞, 0).
Answer:
Step-by-step explanation:
P(A∪B)=3/4
P(B)=1/3
P(A∩B)=1/6
P(A∪B)=P(A)+P(B)-P(A∩B)
Plug in 2 for x
f(2) = 3(2) + 8
f(2) = 6 + 8
Solution: f(2) = 14
answer = 5
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
The national interest rate on houses for 25 years is 4.3%. The banker wishes to test that the local interest rates are lower than the national rate. So he should use the initial data of 4.3% interest as his base data. Then he should investigate the rates of houses in the local vicinities and compare it to his base data.
