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27 What is the value of the 
y-intercept of the graph of 
g(x)=73((4)/(5))^(x) ?
Record your answer and fill in the bubbles on your answer document.

2727 What is the value of the y y -intercept of the graph of g(x)=73(45)x g(x)=73\left(\frac{4}{5}\right)^{x} ?\newlineRecord your answer and fill in the bubbles on your answer document.

Full solution

Q. 2727 What is the value of the y y -intercept of the graph of g(x)=73(45)x g(x)=73\left(\frac{4}{5}\right)^{x} ?\newlineRecord your answer and fill in the bubbles on your answer document.
  1. Identify y-intercept: Identify the y-intercept of the function.\newlineThe y-intercept of a function is the point where the graph of the function crosses the y-axis. This occurs when the value of xx is 00.
  2. Substitute x=0x=0: Substitute x=0x = 0 into the function to find the y-intercept.\newlineg(x)=73(45)xg(x) = 73\left(\frac{4}{5}\right)^x\newlineg(0)=73(45)0g(0) = 73\left(\frac{4}{5}\right)^0\newlineSince any non-zero number raised to the power of 00 is 11, we have:\newlineg(0)=73×1g(0) = 73 \times 1
  3. Calculate g(0)g(0): Calculate the value of g(0)g(0) to find the y-intercept.\newlineg(0)=73×1g(0) = 73 \times 1\newlineg(0)=73g(0) = 73

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