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In the function f(x) = 5(2^x), what does 5 represent?

A) The x-intercept
B) The y-intercept
C) The slope
D) The exponent

1 Answer

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Final answer:

In the function f(x) = 5(2^x), the number 5 is the y-intercept, which is the value of y when x is 0.

Step-by-step explanation:

In the function f(x) = 5(2^x), the number 5 represents the y-intercept. This means that when x = 0, the value of the function, or y, will be 5. That is the point on the graph where the function intersects the y-axis. It is not the slope, exponent, or x-intercept. The slope would refer to how steep the graph is, which in the case of an exponential function like this, changes as x changes. The exponent is the power to which the base (2, in this case) is raised. The x-intercept would be the point where the graph crosses the x-axis, which for an exponential function of this form does not occur since it never touches the x-axis.

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