Question

6.5 graphing and solving exponential functions quiz

the y-intercept of \\(f(x) = b^x\\) is always (__, __).

Explanation:

Define the y-intercept concept

Using the y-intercept knowledge point

$$ x = 0 $$

Evaluate the function at x = 0

Using the y-intercept and Ordered Pairs knowledge points

$$ f(0) = b^0 = 1 \quad (b > 0, b e 1) $$

Write as an ordered pair

Using the Ordered Pairs knowledge point

$$ (0, 1) $$

Answer:

The y-intercept of \(f(x) = b^x\) is always <blank>\(0\)</blank>, <blank>\(1\)</blank>).