Question

4. This is a

function
5. The equation is
6. The value for f(-4) is
THREE NUMBERS BEHIND THE DECIMAL PT

Answer 1

Explanation:

4). This is an exponential function.

5). Let the equation of this function is,

f(x) = a(b)ˣ

Since, two points (-1, 4) and (0, 6) are lying on the graph of the function,

For (-1, 4),

4 = a(b)⁻¹

4 =
`(a)/(b)` --------(1)

For (0, 6),

6 = a(b)⁰

a = 6

From equation (1),

4 =
`(6)/(b)`

b =
`(6)/(4)` = 1.5

Therefore, equation of the function will be,

f(x) = 6(1.5)ˣ

6). Now the value of f(-4) will be,

f(-4) = 6(1.5)⁻⁴

= 1.185