Name: SAT Math Help & School Math Mastery
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#14579

functions

exponential

hard

50 sec

The function $h$ is defined by $h (x) = k^{x} + m$ , where $k$ and $m$ are constants. The graph of $y = h (x)$ has a $y$ -intercept at $(0, 45)$ and passes through the point $(2, 20)$ . What is the value of $m$ ?

• 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.