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3 years ago

How do you determine a rate of change with a graph

Mathematics

1 answer:

Tems11 [23]3 years ago

5 0

When graphed, rate of change can be referred to the slope, or

$\frac{rise}{run}$ .

The slope can be found using the formula:

m = $\frac{y2-y1}{x2-x1}$

$\frac{rise}{run}$ is equal to how the Y and X values change from a given point.

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Let f(x) = 3x + 2 and g(x) =7x + 6. Find f ·g and its domain.

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$f * g = 21x ^ 2 + 32x +12$

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We want to find f*g. Then we must multiply the function f by the function g.

Note that the function $f (x) = 3x +2$ is a linear function, therefore its domain is all real numbers. In the same way the function $g (x) = 7x + 6$ is also a linear function and its domain is all real numbers.

The multiplication of f * g will be

$f * g = (3x + 2) (7x + 6)\\\\f * g = 21x ^ 2 + 18x + 14x +12\\\\f * g = 21x ^ 2 + 32x +12$

The function g(x) is a quadratic function and its domain is the intercept of the domain of f(x) with the domain of g(x), that is, all real numbers.

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