Name: SAT Math Help & School Math Mastery
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#35417

exponential

functions

medium

60 sec

Function $f$ is defined by $f (x) = b - a^{x}$ , where $a$ and $b$ are constants. In the $x y$ -plane, the graph of $y = f (x) - 3$ has a $y$ -intercept at $(0, 2)$ . The ratio of $a$ to $b$ is $2$ . 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.