Hey there!
a. To start, the domain of a function is the range of x values a graph has.
In the graph shown, you have a graph with x values that range from -4 to 0.
However, notice in the graph, there is a hole at the point (-4,6). This hole means that in the function, the domain value of -4 is not included in the domain.
Therefore, to represent your domain in interval notation, you would have:
(-4, 0]
**a parenthesis before a value signifies the value is not included (-4 is not included due to the hole) and a bracket signifies the value is included.
b. The range of a function is the range of y values the function has. Notice how the function's values range from -9 to 6, however there is a hole in the y value of 6 meaning it is not included. Therefore, your range should be [-9, 6).
c. To start, the x-intercept of a graph is the point in which the line passes through the x axis. In the graph shown, the line passes through the x axis at (-3,0). Therefore, your x-intercept would be (-3,0).
d. Similar to the x-intercept, the y-intercept of a graph is the point in which the line passes through the y-intercept. In the graph shown, the line passes through the y axis at (0,-9). Therefore, your y-intercept would be (0,-9).
e. To find the function value in the graph, first locate -2, the given value in f(-2), on the x-axis. Now, trace the point towards the line to find where the x values of -2 lies on the graph, which would be at point (-2,-5). Knowing this, f(-2) would be -5, the y value of the point.
Hope this helps and have a wonderful day! :)
The areas of the circle will represent the population, so:
Area = πr²
5² : 19,465,000
C² : 37,691,000
California circle radius = 6.96 cm
For Texas:
5² : 19,465,000
T² : 25,675,000
Texas circle radius = 5.74 cm
Answer:
4.5cm^2
Step-by-step explanation:
To find area of a triangle the formula is --> 1/2 base times height
so 3cm x 3cm = 9cm and divide by 2 --> 4.5 cm^2
4 years old is the answer i think
The equation is y = -1/4x - 4.
Point Slope Form: y - y1 = m(x - x1)
Given: (-4,-2) and y = 2x + 5
When you are given a line that is perpendicular, flip the slope upside down and change it to it's opposite (negative to positive etc).
Slope: -1/2
Now plug that and the point into the formula for PS form.
y - (-2) = m(x - (-4))
y + 2 = -1/2(x + 4)
y + 2 = -1/2x - 2
- 2 - 2
---------------------------
y = -1/2x - 4