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Directions: Write limit statements for the end behavior of the following exponential functions. 1. Graph of...

Directions: Write limit statements for the end behavior of the following exponential functions.
1. Graph of f(x)
Left: _______________
Right: _______________
2. Graph of g(x)
Left: _______________
Right: _______________
3. h(x) = 2(3)^x
Left: _______________
Right: _______________
4. k(x) = 5(3/8)^x
Left: _______________
Right: _______________
5. m(x) = -6(3/2)^x
Left: _______________
Right: _______________
6. n(x) = -7(π/4)^x
Left: _______________
Right: _______________
Directions: Match the graphs of the exponential functions below with the correct description of the graph.
7.
8.
9.
10.
(i) The graph is increasing and concave up.
(ii) The graph is increasing and concave down.
(iii) The graph is decreasing and concave up.
(iv) The graph is decreasing and concave down.

Answer

  1. Graph of f(x)
    Left: limx→-∞ f(x) = ∞
    Right: limx→∞ f(x) = 0

  2. Graph of g(x)
    Left: limx→-∞ g(x) = 0
    Right: limx→∞ g(x) = -∞

  3. h(x) = 2(3)^x
    Left: limx→-∞ h(x) = 0
    Right: limx→∞ h(x) = ∞

  4. k(x) = 5(3/8)^x
    Left: limx→-∞ k(x) = ∞
    Right: limx→∞ k(x) = 0

  5. m(x) = -6(3/2)^x
    Left: limx→-∞ m(x) = 0
    Right: limx→∞ m(x) = -∞

  6. n(x) = -7(π/4)^x
    Left: limx→-∞ n(x) = 0
    Right: limx→∞ n(x) = -∞

  7. 7. (iv) The graph is decreasing and concave down.

  8. 8. (ii) The graph is increasing and concave down.

  9. 9. (iii) The graph is decreasing and concave up.

  10. 10. (i) The graph is increasing and concave up.

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