Sam wants to create a linear function and an exponential function, both of which have a y-intercept of (0,8) and pass through the point (9,512). Help Sam create his functions.

Step-by-step explanation:

Exponential function is

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

Now, plug in 9 for x. 512 for y to find b.

So the equation is

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: