Exponential graphs of the form y = bx (if the b >1) have the neg. x axis as an asymptote, pass thru (0,1) and (1,b) and increase toward infinity rapidly. Log graphs of the form y = logb x (if the b >1) have the neg. y axis as an asymptote, pass thru (1,0) and (b,1) and increase slowly toward infinity.
When looking at a sequence, if you divide 2 terms (a2 / a1), (a3 / a2), (an / an-1), you sill get the same answer (b) if it represents an exponential system.
you should include the definition of logarithms how to solve logarithmic equations how they are used in applications of math and everyday life how to graph logarithms explain how logarithms are the inverses of exponential how to graph exponentials importance of exponential functions(growth and decay ex.) pandemics, population)
Natural logarithms are logarithms to base e, where e is the transcendental number which is roughly equal to 2.71828. One of its properties is that the slope (derivative) of the graph of ex at any point is also ex.
b/c of big values which are in the form of exponents and powers,we use semilog graph.....
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The sequence represented by the formula (16n - 1) is a linear sequence, where (n) is a positive integer. A graph of this sequence would be a straight line, with the x-axis representing (n) and the y-axis representing the value of the sequence. The line would have a slope of 16 and intersect the y-axis at -1. Thus, the graph shows a linear relationship between (n) and the sequence values.
To determine if a given degree sequence can form a graph, you can use the Havel-Hakimi algorithm or the Erdős-Gallai theorem. The Havel-Hakimi algorithm involves repeatedly removing the largest degree from the sequence, subtracting one from the next largest degrees, and checking if the sequence remains valid (i.e., non-negative). If you can reduce the sequence to all zeros, it represents a valid graph; otherwise, it does not.
you first add a bed then subtract your clothes then divide your legs and multiply
Since there are no graphs following, the answer is none of them.
A pie graph is a good tool for when you want to emphasize the relative proportions of the numbers you're comparing. While it's not as accurate an indicator as a line graph or a bar graph would be, the eye can better distinguish the sizes of the wedges in relation to each other.
That there is a linear relationship between the dependent and independent variables
You can tell from the pie graph because citric acid and table sugar occupy different portions of the graph, indicating that they are different compounds. Each compound would have a distinct composition and mass percentage represented in the graph, allowing you to distinguish between them.
The graph will be a set of disjoint points with coordinates [n, 0.5*(1+n)]