Answer:
A
Step-by-step explanation:
Since F(X) = 3^X,
F(4) = 3^4 = 81
Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- a is the initial value, that is, y when x = 0.
- b is the rate of change, as a decimal.
Function 1 is given by:
Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:
Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at brainly.com/question/14398287
Remember that the period of a sinusoidal function <span>is the vertical distance between the t-axis and one of the extreme points.</span> From the graph we can infer that the period of the function is 4.5.
Also, the amplitude is<span> the distance between two consecutive maximum or two consecutive minimum points. From the graph we can infer that the amplitude of the function is 0.05 seconds.
We can conclude that the correct answer is: 0.05 seconds; 4.5
</span>
Y = mx + b
b: y-intercept (when x equals zero)
m: slope ((y₂ - y₁) ÷ (x₂ - x₁))
Y - Intercept:
To find the y-intercept, just look at the table. The y-intercept is whatever y equals when x equals zero. In this case it is -8.
Slope:
(y₂ - y₁) ÷ (x₂ - x₁)
Pick two points and substitute them into this equation. Let's use (-3, 1) and (-2, -2).
(-2 - 1) ÷ (-2 + 3)
-3 ÷ 1
-3
Now substitute these values back into the equation.
y = mx + b
y = -3x - 8
The answer is a.
