Algebra

Exponential Functions

Graphs of Exponential Functions

         

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

Let mm and nn be the maximum and minimum values, respectively, of y=51x,y=5 ^{1-x}, where 1x1-1 \leq x \leq 1. What is the value of mnm-n?

The graph of y=5x+3+7x1+6y = 5^{-x + 3} + 7^{-x - 1} + 6 never goes below the line y=k.y = k.

What is the largest possible value of kk such that the statement above is true?

Let mm and nn be the maximum and minimum values, respectively, of y=(17)x2+4x5y=\left(\frac{1}{7}\right)^{-x^2+4x-5} in the interval 2x32 \leq x \leq 3. What is the value of m+2nm+2n?

Shown above is the graph of y=f(x), y = f(x) , which is the reflection of y=22x+a+b y = 2^{2x+a} + b in the y y -axis. If the graph of y=f(x) y = f(x) passes through (1,10) (-1, 10) and the equation of the graph's asymptote is y=2 y=2 , what is a+ba+b?

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