Question

The graph of f(t) = 6 x 2^t shows the value of a rare coin in year t. What is the meaning of the y-intercept?

Answer 1

Answer: The meaning y-intercept is the initial value of a rare coin is 6.

Step-by-step explanation:

Given : The graph of $f(t) = 6\times 2^t$ shows the value of a rare coin in year t.

The y- intercept is the point on Cartesian plane when the graph intersects y axis. It given the initial value of the function by substituting the value of independent variable as zero.

i.e. , we need to put t=0, we get

$f(0) = 6\times 2^0=6$

The meaning y-intercept is the initial value of a rare coin is 6.

Answer 2

When the graph intersects the y-axis, it means it's x-coordinate is 0, or t = 0.
Hence, f(t) = 6 × 2^0 = 6.
y = 6 at y-intercept.