<span>1.) Amplitude is the magnitude (height) of the oscillation (wave) of a sinusoidal function. Sometimes it is referred to as the "peak from center" of the graph. The maximum of y = sin x is 1. The minimum is -1.
</span><span>2.)a change in the phase of a waveform.
<span>3.) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).</span>
</span>
The only irrational number there is C
Answer:
5
Step-by-step explanation:
sum the parts of the ratio, 3 + 4 = 7 parts
Divide the number of students by 7 to find the value of one part of the ratio
35 ÷ 7 = 5 ← value of 1 part of the ratio, then
3 parts 3 × 5 = 15 ← number of boys
4 parts = 4 × 5 = 20 ← number of girls
20 - 15 = 5
There are 5 more girls than boys
Answer:
54 = 2 × 3 × 3 × 3 = 2 × 3³
![f(x) = 7(\sqrt[3]{54})^x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%207%28%5Csqrt%5B3%5D%7B54%7D%29%5Ex%20)
![f(x) = 7(\sqrt[3]{3^3 \times 2})^x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%207%28%5Csqrt%5B3%5D%7B3%5E3%20%5Ctimes%202%7D%29%5Ex%20)
![f(x) = 7(3\sqrt[3]{2})^x](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%207%283%5Csqrt%5B3%5D%7B2%7D%29%5Ex%20)
Initial value: x = 0
![f(0) = 7(3\sqrt[3]{2})^0](https://tex.z-dn.net/?f=%20f%280%29%20%3D%207%283%5Csqrt%5B3%5D%7B2%7D%29%5E0%20)


The initial value is 7.
The domain is all real numbers.
The range is all real numbers greater than zero.