Waste less time on Facebook — follow Brilliant.
×
Algebra

Exponential Functions

Graphs of Exponential Functions

         

Which of the following could be the graph of \( y = - \frac{1}{a^x}, \) if \( a>1 ? \)

Let \(m\) and \(n\) be the maximum and minimum values, respectively, of \[y=5 ^{1-x},\] where \(-1 \leq x \leq 1\). What is the value of \(m-n\)?

The graph of \(y = 5^{-x + 3} + 7^{-x - 1} + 6\) never goes below the line \(y = k.\)

What is the largest possible value of \(k\) such that the statement above is true?

Let \(m\) and \(n\) be the maximum and minimum values, respectively, of \[y=\left(\frac{1}{7}\right)^{-x^2+4x-5}\] in the interval \(2 \leq x \leq 3\). What is the value of \(m+2n\)?

Shown above is the graph of \( y = f(x) ,\) which is the reflection of \( y = 2^{2x+a} + b \) in the \( y \)-axis. If the graph of \( y = f(x) \) passes through \( (-1, 10) \) and the equation of the graph's asymptote is \( y=2 \), what is \(a+b\)?

×

Problem Loading...

Note Loading...

Set Loading...