Name: SAT Math Help & School Math Mastery
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#15148

functions

exponential

hard

150 sec

Let $f (x) = a^{x} + b$ , where $a$ and $b$ are constants. In the xy-plane, the graph of $y = f (x) - 8$ has a y-intercept at $(0, 3)$ . The product of $a$ and $b$ is $18$ . What is the value of $b$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.