The x-axis serves as a horizontal asymptote for all exponential functions. Exponential functions are of the form f(x) = ax . The domain consists of all real numbers. However, the range only consists of all numbers greater than zero. This is because no matter how large x gets, the graph will shoot upwards towards infinity. If x becomes a negative, we know that we will get f(x) = 1/a2 . The larger the negative number, the closer the function approaches zero. So, for exponential functions we will always have that restriction that the range will only include positive numbers. I hope this answers your question. I believe the statement is true.
Answer:
- (5, 9)
- (5, 6)
- (-5,-6)
- (5, -9)
- (-9, -5)
Step-by-step explanation:
Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).
Vertex form: f(x) = a(x -h)^2 +k
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f(x) = 5(x - 5)^2 + 9; h = 5, k = 9; vertex: (5, 9)
f(x) = 9(x - 5)^2 + 6; h = 5, k = 6; vertex: (5, 6)
f(x) = 9(x + 5)^2 - 6; h = -5, k = -6; vertex: (-5, -6)
f(x) = 6(x – 5)^2 - 9; h = 5, k = -9; vertex: (5, -9)
f(x) = 6(x + 9)^2 - 5; h = -9, k = -5; vertex: (-9, -5)
Answer:
Step-by-step explanation:
The standard form formula for a circle equation is 
, where (h,k) represents the center of the circle, and r represents the radius.
r=10
(h,k)= (9,3)
Area = # sides * side length * apothem / 2
side length = (2 * area) / # sides * apothem
side length = 2 * 37.2 / 5 * 3.2
side length = 74.4 / 16
side length = 4.65 meters
Answer:
wouldn't it be 18/7
Step-by-step explanation:
270 ÷ 15 over 105 ÷ 15
