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Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.

Given f(x) and g(x) = k•f(x), use the graph to determine the value of k.-example-1
User Adsy
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1 Answer

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Explanation:

the slope of f(x) = 1

for every increase of x by 1 also y increases by 1.

the slow of g(x) = -2

for every increase of x by one y decreases by 2.

so, we see, as

g(x) = k × f(x)

k = g(x) / f(x) = slope g / slope f = -2/1 = -2

why ? because both functions are linear functions (lines).

they look like

y = ax + b

with a being the slope of the line.

so, when multiplied by k, this is kax + kb, and we see k as factor already in the slope of the line itself.

User Noway
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