Respuesta :

Assuming the function is f(x) = 5(2)^x, then the answer is the graph with the point (2,20) on the curve.

Plugging in x = 2 leads to y = 20
y = 5(2)^x
y = 5(2)^2 ... replace x with 2
y = 5(4)
y = 20
Which is why (x,y) = (2,20) is on the function curve.

The graph of the function f(x) = 5(2)^x is; the first graph.

Graph of a function

From algebra of graphs;

  • The y-intercept of a function is the value of the function at point, x= 0.

Hence, when x= 0 in the given function;

  • f(0) = 5(2)⁰

  • f(0) = 5 × 1

  • f(0) = 5.

Hence, the y-intercept = (0,5)

Additionally, by evaluating f(2); we have;

  • f(2) = 5(2)² = 5×4 = 20

Another point on the graph is therefore; (2,20)

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