Question

analyzing characteristics of exponential functions with a base between 0 and 1
consider $f(x)=b^x$. which statement(s) are true for $0 < b < 1$? choose four correct answers.

• the function is always decreasing.
• the function is always increasing.
• the domain is all real numbers.
• the range is all real numbers.
• the range is $y > 0$.
• the graph has a $y$-intercept of 1.
• the graph has $x$-intercept 1.
• the domain is $x > 0$.

Explanation:

Answer:

The function is always decreasing.
The domain is all real numbers.
The range is $y > 0$.
The graph has a y-intercept of 1.