Find the slope of the function f ( x ) = 3 - 2 x , by the definition of limit.

Mathematics

1 answer:

musickatia [10]3 years ago

8 0

Answer:

the slope is -2 $\lim_{n \to \0}( f(x+h)-F(x)) /h \\\\ \lim_{n \to \0} (3-2(x+h)-(3-2x))/h\\ f(x+h)= 3-2(x+h) \\f(x)=3-2x\\ \\\lim_{n \to \0} (3-2x-2h-3+2x)/h\\\\ \lim_{n \to \0} -2h/h\\ \\ \lim_{n \to \0} -2\\=-2\\\\In all limits, you have to put n goes to 0 (zero)$

Step-by-step explanation:

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In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a s

masya89 [10]

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C' (-4 , 2)

slope of new line = line "L" = -2

Step-by-step explanation:

C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3

C' (x,y)

x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)

y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)