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I need help with this pls

I need help with this pls-example-1
User Arberb
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1 Answer

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Explanation:

the rate of change in an interval is always

( f (interval upper limit) - f (interval lower limit) ) /

(interval upper limit - interval lower limit)

31a.

( f (-2) - f (-4)) / (-2 - -4) = (-2 - -3) / 2 = 1/2

b.

( f (7) - f (3)) / (7 - 3) = (2.5 - 0.5) / 4 = 2/4 = 1/2

c.

yes, it is linear (= the function is a straight line), because it has the same change rate or slope everywhere.

32a.

f(x) = y = 35x + 75

b.

the slope is the factor of x, which is 35 for this function.

the slope is defined as "y coordinate change / x coordinate change" when going from one point on the line to another. and that is the same as the change rate, which is simply called slope for a line.

so, both are 35. it means for every increase of x by 1, y increases by 35.

User Birgire
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