Question

~Offering 10 points please help ~

The graph of an exponential function of the form y = f(x) = a^x passes through the points 1)______ and 2)______ The graph lies 3)____ the x-axis.

1a) (0,a)
1b) (0,1)
1c) (0,2)
1d)(0,-1)

2a) (1,0)
2b)(1,1)
2c)(1,a)
2d) (1,-2)

3a) above
3b) below
3c) on the

Answer 1

Let's see if this is better
1: Substitute 0 for x in the equation → y = f(0) = a^0 = 1
Therefore (0, 1) is a point on the graph

2: Substitute 1 for x in the equation → y = f(1) = a^1 = a
Therefore (1, a) is a point on the graph

3: y = f(x) = a^x is an exponential function which has a horizontal asymptote of y = 0 (equation for the x - axis) ... The reason it is above the x-axis is because there is no negative coefficient on "a" to reflect it below the x-axis