Gr 11 Math Ch 5: Exponential Functions
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Questions and Answers

What is the effect of a positive value of q on the graph of an exponential function?

  • The graph is shifted vertically upwards by q units. (correct)
  • The graph is shifted horizontally to the left by q units.
  • The graph is shifted vertically downwards by q units.
  • The graph is shifted horizontally to the right by q units.

    • What is the effect of a negative value of a on the graph of an exponential function?

  • The graph is reflected about the horizontal asymptote and is increasing.
  • The graph is shifted horizontally to the right by a units.
  • The graph is reflected about the horizontal asymptote and is decreasing. (correct)
  • The graph is shifted vertically upwards by a units.

    • What is the horizontal asymptote of the graph of an exponential function?

  • The line y = b.
  • The line y = a.
  • The line y = q. (correct)
  • The line y = 0.

    • What is the effect of a value of p greater than 0 on the graph of an exponential function?

    <p>The graph is shifted horizontally to the left by p units.</p> Signup and view all the answers

    What is the range of the exponential function y = ab^(x+p) + q if a > 0?

    <p>y &gt; q.</p> Signup and view all the answers

    What is the domain of the exponential function y = ab^(x+p) + q?

    <p>All real numbers.</p> Signup and view all the answers

    What is the effect of a value of b greater than 1 on the graph of an exponential function?

    <p>The graph is an increasing function.</p> Signup and view all the answers

    How do you find the y-intercept of an exponential function?

    <p>Set x = 0.</p> Signup and view all the answers

    What is the effect of a negative value of p on the graph of an exponential function?

    <p>The graph is shifted to the right by p units.</p> Signup and view all the answers

    What is the range of the exponential function y = ab^(x+p) + q if a < 0?

    <p>{ y : y &lt; q, y ∈ ℝ }</p> Signup and view all the answers

    How do you find the x-intercept of an exponential function?

    <p>Set y = 0 and solve for x.</p> Signup and view all the answers

    What happens to the graph of an exponential function when b is between 0 and 1?

    <p>The graph is decreasing.</p> Signup and view all the answers

    What is the effect of a on the shape of the graph of an exponential function?

    <p>a affects the shape of the graph, making it increasing or decreasing.</p> Signup and view all the answers

    What happens when the value of b is 0 or less in an exponential function?

    <p>The function is not defined.</p> Signup and view all the answers

    How does the value of q affect the graph of an exponential function?

    <p>q affects the vertical shift.</p> Signup and view all the answers

    What is the effect of a positive value of a on the shape of the graph of an exponential function?

    <p>The graph is increasing.</p> Signup and view all the answers

    What is the effect of increasing the value of b in the function y = ab^x + q?

    <p>The function becomes more steep.</p> Signup and view all the answers

    What happens to the graph of y = ab^(x+p) + q when a = 0?

    <p>The graph is undefined.</p> Signup and view all the answers

    What is the effect of changing the value of q on the graph of y = ab^x + q?

    <p>The graph shifts vertically.</p> Signup and view all the answers

    What is the relationship between the value of b and the direction of the graph of y = ab^x + q?

    <p>If b &gt; 1, the graph is increasing.</p> Signup and view all the answers

    What happens to the graph of y = ab^(x+p) + q when p = 0?

    <p>The graph is unchanged.</p> Signup and view all the answers

    What is the effect of a negative value of a on the shape of the graph of y = ab^x + q?

    <p>The graph is reflected about the horizontal asymptote.</p> Signup and view all the answers

    What is the relationship between the value of a and the position of the graph relative to the horizontal asymptote?

    <p>If a &gt; 0, the graph lies above the horizontal asymptote.</p> Signup and view all the answers

    What happens to the graph of y = ab^x + q when b = 1?

    <p>The graph becomes a straight line.</p> Signup and view all the answers

    What is the effect of a positive value of p on the graph of an exponential function?

    <p>The graph is shifted to the left.</p> Signup and view all the answers

    What is the effect of a value of b less than 1 on the graph of an exponential function?

    <p>The graph is decreasing.</p> Signup and view all the answers

    What is the relationship between the value of a and the position of the graph relative to the horizontal asymptote?

    <p>If a &gt; 0, the graph lies above the horizontal asymptote.</p> Signup and view all the answers

    What happens to the graph of an exponential function when the value of q changes?

    <p>The graph is shifted vertically.</p> Signup and view all the answers

    What is the effect of a value of b equal to 1 on the graph of an exponential function?

    <p>The graph is horizontal.</p> Signup and view all the answers

    What is the relationship between the value of b and the direction of the graph of an exponential function?

    <p>If b &gt; 1, the graph is increasing.</p> Signup and view all the answers

    What happens to the graph of an exponential function when the value of p is zero?

    <p>The graph remains unchanged.</p> Signup and view all the answers

    What is the effect of a negative value of q on the graph of an exponential function?

    <p>The graph is shifted vertically downwards.</p> Signup and view all the answers

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