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Math Asked by a SnapAndSolve user · about 3 hours ago

An exponential graph in the form f(x) = a(b)^x passes through (0, 11), (1, 33), and (2, 99). What are a and b?

1. An exponential graph in the form f(x) = a(b)^x passes through (0, 11), (1, 33), and (2, 99). What are a and b?
a. a = 33, b = 3
b. a = 5, b = 11
c. a = 11, b = 3
d. a = 11, b = 33
2. A graph has a horizontal asymptote at y = 0 and passes through (0, 7), (1, 14), and (2, 28). What type of function does the graph represent?
a. Exponential
b. Logarithmic
c. Linear
d. Quadratic
3. A graph has a vertical asymptote at x = 0 and passes through (1, 0), (10, 1), and (100, 2). Which equation models the graph?
a. g(x) = log10(x)
b. g(x) = 100(10)^x
c. g(x) = log2(x)
d. g(x) = 10^x

Answer

  1. The correct answer is c. a = 11, b = 3. The graph passes through (0, 11), so f(0) = a = 11. Then, f(1) = 11 * b = 33, which gives b = 3.

  2. The correct answer is c. Linear. The points (0, 7), (1, 14), and (2, 28) suggest a linear function because the differences between y-values are constant.

  3. The correct answer is a. g(x) = log10(x). The graph has a vertical asymptote at x = 0 and passes through (1, 0), (10, 1), and (100, 2), which are characteristic of a logarithmic function with base 10.

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