Find the domain and range of the exponential function h(x) = –343x. Explain your findings. As x decreases, does h increase or decrease? Explain. As x increases, does h increase or decrease? Explain.

Domain: All real numbers

Range: y ≤ 0

Step-by-step explanation:

The graph of the function h(x) = -343ˣ is shown below.

We can see that the domain of the functions is all real real numbers.

However, Range of the function only includes 0 or the negative values of y, so Range of the function is y ≤ 0.

It can be clearly seen in the graph that when x increase, y decreases, for example for x = -0.5, the value of y is y = -0.05. If x is increase to x = 0, then value of y decreases to y = -1.

Similarly, when x = 0.1, the value of y is y= -1.8 , if x decreases to 0, then y increases to y=-1.8, which shows that when x decreases, y increase.