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If y=1.8^(x)+1 is graphed in the xy-plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation? Choose 1 answer: A y-intercept (B) x-intercept (c) Slope (D) The value y approaches as x decreases

If y=1.8x+1 y=1.8^{x}+1 is graphed in the xy x y -plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?\newlineChoose 11 answer:\newline(A) y y -intercept\newline(B) x x -intercept\newline(C) Slope\newline(D) The value y y approaches as x x decreases

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Full solution

Q. If y=1.8x+1 y=1.8^{x}+1 is graphed in the xy x y -plane, which of the following characteristics of the graph is displayed as a constant or coefficient in the equation?\newlineChoose 11 answer:\newline(A) y y -intercept\newline(B) x x -intercept\newline(C) Slope\newline(D) The value y y approaches as x x decreases
  1. Identify Constant Term: Identify the constant term in the equation y=1.8x+1y=1.8^{x}+1.\newlineThe constant term in the equation is +1+1.
  2. Significance of Constant Term: Determine the significance of the constant term in the context of the graph. The constant term in a function of the form y=ax+by=a^{x}+b represents the yy-intercept, which is the value of yy when x=0x=0.
  3. Check for Other Characteristics: Check the equation for any other characteristics that might be constants or coefficients.\newlineThe equation y=1.8x+1y=1.8^{x}+1 does not have a term that represents the xx-intercept, slope, or the value yy approaches as xx decreases directly.
  4. Conclude Represented Characteristic: Conclude which characteristic is represented by the constant term.\newlineSince the constant term is +1+1 and it is added to the exponential function, it represents the yy-intercept of the graph.

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