That is an exponential function. It grows all over the range, from - ∞ to + ∞.
The limit when f(x) goes of - ∞ is zero, so y = 0 there is the asymptote to the left side.
The value of f(x) for x = 4 is 1: f(4) = 6 ^ (4 - x) = 6 ^ (4 - 4) = 6^0 = 1. So, the y intercept is y = 0.
The function grows as x goes to infinity.
You can finds some other values of the function to help to sketch the graph.
x f(x) = 6 ^ (x - 4)
-100 6^ ( -104) = 1.18 * 10^ (-81)
- 10 6^ (-14) = 1.28 - 10^ -11
3 6^ (-1) = 1/6 = 0.17
4 6^0 = 1
14 6^ (10) = 60,466,176
Answer:Your coordinates would be (9,0)
Step-by-step explanation:
Everytime you rotate 180 degrees, you times x and y by -1. This means -9
multiplied by -1 is 9.
Answer: THIRD OPTION
Step-by-step explanation:
We need to remember that a right angle is an angle that measures 90 degrees.
By definition, when two or more lines intersect (or cross one another ) at a 90-degree angle, then these lines are called "Perpendicular".
Therefore, in this case, we know that these two lines intersects at a right angle (angle of 90 degrees), then, we can conclude that these lines are Perpendicular.
This matches with the third option.
Answer:
Step-by-step explanation:
We are asked to find the circumference and area of a circle with a radius of 3 meters.
<h3>1. Circumference </h3>
The circumference is the perimeter of a circle. It is calculated using the following formula:
We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.
The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.
Multiply.
<h3>2. Area </h3>
The area is the size of the circle's surface. It is calculated using the following formula.
The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.
Solve the exponent.
- (3 m)² = (3 m)(3 m)= 9 m²
The circumference is 18.84 meters and the area is 28.26 square meters.
3,800
because the rectangle area is 40x70 plus the triangle area is 40x50 divided by 2
