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The function below an exponential function of the form y=a(b)^x represents the y-intercept and b represents the rate

a.True
b.False

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Final answer:

The statement about the exponential function is false; 'a' is the y-intercept and 'b' is the base of the exponent in y = a(b)^x. Additionally, a position vs time graph for an object that is speeding up is not a straight line but a curve.

Step-by-step explanation:

The statement concerning the exponential function y = a(b)^x is false. In an exponential function, the parameter 'a' represents the y-intercept, which is the value of y when x equals 0. The parameter 'b' represents the base of the exponent, not the rate. However, the rate of change for the function is related to the value of 'b', as a larger base corresponds to a faster growth rate if b > 1, or a faster decay rate if 0 < b < 1.

Turning to the original question, the position vs time graph of an object that is speeding up is not a straight line. The correct answer is: a. False. As an object speeds up, its velocity increases, which means the slope of the position vs time graph also increases. This results in a curved line on the graph, indicating changing velocity.

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