<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>
<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>
<span>Before you start, f(0) = 2<span>0 </span>= 1</span>
<span>After 1 hour f(1) = 21 = 2</span>
<span>In 2 hours f(2) = 22 = 4</span>
<span>In 3 hours f(3) = 23 = 8</span>
and so on.
<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>
<span> </span>
Answer:
- Scale factor = 1/2 and x = 18
Step-by-step explanation:
<u>Given:</u>
- ΔABC ~ ΔDEF
- AB = 36. BC = 30
- DE = x, EF = 15
- m∠B = m∠E = 72°
<u>Corresponding sides are:</u>
<u>Corresponding sides have same ratio:</u>
- AB/DE = BC/EF
- 36/x = 30/15
- x = 36/2
- x = 18
<u>The scale factor is:</u>
Answer:
quotient is the answer to division. So if 7/2=3 with a remainder of 1, then the quotient is 3
-2.8x and -1.6x is the answer
Answer: 6700
Step-by-step explanation: 6700 is Already rounded to the nearest hundredth.
