Question

without graphing, describe the shape of the graph of the function. find the second coordinates of the points with first coordinates 0 and 1.
$f(x)=2.9^x$
the graph

Explanation:

Step1: Evaluate at x=0

Any non-zero number to the 0 power is 1.
$f(0)=2.9^0=1$

Step2: Evaluate at x=1

A number to the 1 power is itself.
$f(1)=2.9^1=2.9$

Step3: Describe the graph shape

Since the base $2.9>1$, this is an exponential growth function: it passes through $(0,1)$, increases as $x$ increases, approaches 0 as $x$ approaches $-\infty$, and is always positive.

Answer:

The graph is an increasing exponential growth curve, always positive, approaching 0 as $x \to -\infty$, rising as $x$ increases, passing through the points $(0, 1)$ and $(1, 2.9)$.
The second coordinates are 1 (for first coordinate 0) and 2.9 (for first coordinate 1).