Question

*15 PTS*

The graph of an exponential function of the form y = f(x) = ax passes through the points ___ and ___. The graph lies ___ the x-axis.

First line choices:
(0, a)
(0, 1)
(0, 2)
(0, -1)

Second line choices:
(1, 0)
(1, a)
(1, 1)
(1, -2)

Third line choices:
above
below
on the

Answer 1

The graph of an exponential function of the form y = f(x) = aˣ passes through the points (0, 1) and (1, a). The graph lies above the x-axis.

Explanation:

The given function is

`y=f(x)=a^x`

Put x=0 in the given function,

`y=a^0`

`y=1`
`(\because x^0=1)`

Put x=1 in the given function,

`y=a^1`

`y=a`

Therefore graph of an exponential function of the form y = f(x) = aˣ passes through the points (0, 1) and (1, a).

It is an positive exponential function, therefore the value of function will always remains positive. So, the graph lies above the x-axis.