Question

Graph: f(x) = 22-1

Step 1: Find the value of x that makes the exponent zero
by solving this equation: x-1 = 0

Answer 1

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Explanation:

Answer 2

Explanation:

To graph an exponential function f(x) =
`2^(x-1)`,

Step - 1 :

Find the value of x that makes the exponent 0.

x - 1 = 0

x = 1

f(1) = 2⁰ = 1

Similarly, for other input values (x- values),

For x = 2,

f(2) =
`2^(2-1)`

= 2¹

= 2

For x = 3

f(3) =
`2^(3-1)`

= 2²

= 4

For x = 4

f(4) =
`2^(4-1)`

= 2³

= 8

Therefore, table for input - output values will be,

x 1 2 3 4

f(x) 1 2 4 8