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Home / Assignment Help / Which is the graph of the step function f(x)? f(x) = {-1×1 Image for option 1 # Which is the graph of the step function f(x)? f(x) = {-1×1 Image for option 1

Option B-  Yes; the domain values are at regular intervals and the range values have a common factor 4.

Step-by-step explanation:

Given : The data

(x) -5,   -4,  -3,   -2

(y) 0.5,  2,   8,   32

To find : The data shows an exponential function or not

Solution :

The general form of an exponential form is To check whether the data give the exponential function we form equation with the help of two points and verify the other two points . Let x= -5 and y=0.5  ……

Let x= -4 and y=2  ………

Equate LHS because RHS is equal in equation  and   Put back in .  a=512 and b=4

Exponential function – To verify this function put

1) x=-3   The point satisfied.

2) x=-2   The point satisfied.

Therefore, The given data is an exponential function The domain values are at regular intervals and the range values have a common factor 4 because b=4 and the change happen but value of b remain same.

Hence, Option B is correct.

Yes; the domain values are at regular intervals and the range values have a common factor 4. 