Answer:
Determine the domain and range of a logarithmic function.
Determine the x-intercept and vertical asymptote of a logarithmic function.
Identify whether a logarithmic function is increasing or decreasing and give the interval.
Identify the features of a logarithmic function that make it an inverse of an exponential function.
Graph horizontal and vertical shifts of logarithmic functions.
Graph stretches and compressions of logarithmic functions.
Graph reflections of logarithmic function
Step-by-step explanation:
Answer:
256 total
Step-by-step explanation:
112 boys
144 girls
Answer:
4000 and 7000
Step-by-step explanation:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Answer:
Yi Xing invented the astronomical clock and introduced some new methods of interpolation in mathematics.
Step-by-step explanation:
Yi Xing was both an astronomer and a mathematician during the era. He invented the astronomical clock which was more accurate than the initial water and Sun's clock in use.
Furthermore, Yi Xing also discovered some new methods of interpolation in mathematics of which the meaning and interpretation became controversial. Interpolation is a method majorly in mathematics that can be used to estimate a value of a function from its discrete values. It involves first order differences and second order differences.
Also, Yi Xing was able to design a calendar in A.D. 727.
