Chapter 12.2, Problem 1PE

a. Given a real number b, where $b>0$ and $b\ne 1$, then a function of the form $f\left(x\right)=$ __________ is called an exponential function.

b. The function defined by $f\left(x\right)=x^4$ (is/is not) an exponential function, whereas the function defined by $f\left(x\right)=4^x$ (is/is not) an exponential function.

c. The graph of $f\left(x\right)={\left(\frac{7}{2}\right)}^x$ is (increasing/decreasing) over its domain.

d. The graph of $f\left(x\right)={\left(\frac{2}{7}\right)}^x$ is (increasing/decreasing) over its domain.

e. In interval notation, the domain of an exponential function $f\left(x\right)=b^x$ is __________ and the range is __________.

f. All exponential function $f\left(x\right)=b^x$ pass through the point ________.

g. The horizontal asymptote of an exponential function $f\left(x\right)=b^x$ is the line __________.

h. The function defined by $f\left(x\right)=1^x$ (is/is not) an exponential function