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To find the rate of change we must use the slope formula:

When comparing the key characteristics of functions we need to identify the rate of change and y-intercept of each function. To find the rate of change we must use the slope formula:. Choose two points from the table or graph and substitute values into the slope formula.

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To find the rate of change we must use the slope formula:

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  1. When comparing the key characteristics of functions we need to identify the rate of change and y-intercept of each function. To find the rate of change we must use the slope formula: Choose two points from the table or graph and substitute values into the slope formula. The y-intercept is the coordinate in the form of (0, y) or the coordinate of the point where the line intersects the y-axis.

  2. Identify the rate of change and y-intercept for the function f(x). (0, 8) (4, 0) Use points _______and________ = =

  3. Identify the rate of change and y-intercept for the function g(x). = = From the table the y-intercept is where the x-value is zero which is the point the point ________. (0, -6)

  4. The rate of change for the first function is ______ and the ate of change for the second function is _______. -2 2 The first function is _____________, while the second is ____________. Although the rates of change are the same. decreasing increasing The y-intercept for the first function is _____ and y-intercept for the second function is _______. 8 -6 The second function crosses the y-axis at a __________ point. lower

  5. Identify the rate of change and y-intercept of the first function. Identify the rate of change and y-intercept of the second function. Use the points (0, 200) and (500, 300). = The y-intercept is 200.

  6. The y-intercepts of both functions is __________. (0, 850)

  7. Calculate the rate of change for each function over [0, 16] Function A: Use ordered pairs ________and__________. (0, 850) (16, 1600) = = (16, 1480.88) (0, 850) Function B: Use ordered pairs ________and____________. = = The y-intercepts of both functions are the same; however, the graphed function, f(x), has a greater rate of change over the interval [0, 16].

  8. A Petri dish contains 8 bacteria that double every 15 minutes. Compare the properties of the function that represents this situation to another population of bacteria, graphed below, that starts with 8 organisms over the interval [150, 210]. The equation we will use for the first function is: The initial population or y-intercepts of both functions is _______. 8

  9. Calculate the rate of change for each function over [150, 210] (150, 275) (210, 1000) From the graph: Use ordered pairs ___________and__________. = Function B: Determine the value for y when x is 150 and 210. (150, 8192) (210, 131072) Use ordered pairs ____________and________________. = =

  10. The y-intercepts of both functions are the same; however, the graphed function is less steep over the interval [150, 210]. The bacteria in the graphed function are doubling at a slower rate than the first function described.

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