Question

Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1? Image for option 1 Image for option 2 Image for option 3 Image for option 4

Answer 1

Answer:

Graph will touch x axis at x = 1/50 and y axis at y = -1

Step-by-step explanation:

Given equation is

f(x) = 100(0.5)x - 1

Simplifying the above equation

f(x) = 50x - 1

As f(x) = y, so

y = 50x -1 ..... (A

This is an equation of line. In order to plot its graph, we need to find the x-intercept (Point where line touches x-axis) and y-intercept (Point where line touches y-axis).

For X- Intercept, put y = 0 in the equation (A

0 = 50x - 1

50x = 1

x = 1/50

So our point for x- intercept is (1/50, 0)

For Y- Intercept, put x = 0 in the equation (A

y = 50(0) - 1

y= 0 - 1

y = -1

So our point for y- intercept is (0, -1).

Now mark these above found points on coordinates axis and join them you will get the desired graph.

Answer 2

Answer:

c

Step-by-step explanation:

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