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Compare the steepness of the following functions. How does f3 compare to f1?

Compare the steepness of the following functions. How does f3 compare to f1?-example-1
User Lalli
by
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1 Answer

2 votes

Answer:

Function 3 is less steep

Explanation:

There are three ways you can figure out the steepness of the slope; draw a graph, plug in a random set of data or use general knowledge.

(1) By observing the graph:

The blue slope = 2x

The red slope = 0.5x

The 2x is much steeper than 0.5x.

(2) By observing the data points (Plugging in the x-value of your choice):

y=0.5x

x: 0, 2, 4, 6, 8, 10

y: 0, 1, 2, 3, 4, 5

y=2x

x: 0, 2, 4, 6, 8, 10

y: 0, 4, 8, 12, 16, 20

The significant difference is visible in the rate of how y inc.

(3) General knowledge:

The bigger the number is for the slope, the steeper the slope is.

The smaller the number is for the slope, the less steep it is.

Compare the steepness of the following functions. How does f3 compare to f1?-example-1
User Darkk
by
7.7k points