Algebra 2 Chapter 6.1

Is this exponential function increasing or decreasing?

• increasing

• decreasing

Is the following function increasing or decreasing?

f(x)=13(.27)^x

• increasing

• decreasing

Write the equation of the exponential function for the given graph.

• y = 2(2)^x

• y = 2(1)^x

• y = 1(1/2)^x

• y = 2^x

Write the equation of the exponential function for the given table.

• y = -2(1/2)^x

• y = 2(1/2)^x

• y = 2(2)^x

• y = 1/2(2)^x

Write the equation of the exponential function for the given table.

• f(x) = 4x

• f(x) = 1024(4)x

Given the following table of values, construct the function that represents this table?

• y = 3(4)^x

• y = 4(3)^x

What is the x-intercept of the exponential function? (Hint: Where does the graph cross the x axis?)

• 1

• -2

• There is no x intercept

Look at the graph and answer each question.

Is the graph increasing or decreasing?

What is the y-intercept?

What is the asymptote?

• Increasing

  y-intercept: (0, 5)

  asymptote: y = 0

• Decreasing

  y-intercept: (0, 5)

  asymptote: y = 0

• Increasing

  y-intercept: (0, 5)

  asymptote: y = 5

• Decreasing

  y-intercept: (5, 0)

  asymptote: x = 0

In an exponential function, what does the 'a' represent?

• Slope

• Rate of change

• initial value

• constant ratio

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