Question

which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
a. w
b. y
c. x
d. z

Explanation:

Step1: Check y-intercept (0,3)

Verify which graph crosses the y-axis at $y=3$. Graph W has a y-intercept at (0,3); graphs Y, X, Z do not match this.

Step2: Check end behavior as $x\to+\infty$

Confirm the graph approaches a constant value (horizontal asymptote) as $x$ increases. Graph W decreases toward a positive constant as $x\to+\infty$, matching the requirement.

Answer:

A. W