Question

The value, in dollars, of an antique has increased exponentially over x years as shown in the graph. Part 1 of 2Estimate the y-intercept of the function. What does the y-intercept represent in context? A $0: the initial value of the antique B $1000: the initial value of the antiqueC 1000:the initial age of the antiqueD 0: the initial age of the antique Part 2 of 2 Why are the x-values all nonnegative (greater than or equal to zero)?

Answer 1

The y-intercept is the the point where the graph cuts the y-axis which is in this case (0.1000).

The y-intercept is $1000.

The y-intercept represents the intial value of the antique.

Thus, option (B) is the correct option.

Part 2:

The value of x-values are non-negative becaue it shows the age of the antique which always increases with the time. Hence it cannot be negative.