Answer:
The domain of f is {x : x ∈ R, -7 ≤ x ≤ 7} ⇒ [-7, 7]
Step-by-step explanation:
<em>The domain of a function is </em><em>all the values of x</em><em> make the function defined</em>
In the given graph
∵ The graph drawn from x = -7 to x = 7 and from y = -6 to y = 4
→ That means the values of x started from -7 and ended at x = 7
∵ The coordinates of the starting point of the graph of f are (-7, -5)
∵ The coordinates of the ending point of the graph of f are (7, 3)
∴ -7 ≤ x ≤ 7
∵ Values of x are the domain of the function
∴ The domain of the function is -7 ≤ x ≤ 7
∴ The domain of f = {x : x ∈ R, -7 ≤ x ≤ 7} ⇒ [-7, 7]
Answer:
8x+5
Step-by-step explanation:
any letter will mean 1
Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:459.27
Step-by-step explanation:
