1)) Graph this function. \( y=18^{x} \) 4)) Plot two points to graph the function.

Function by following steps: - step0: Find the y-intercept: \(y=18^{x}\) - step1: Set \(x\)=0\(:\) \(y=18^{0}\) - step2: Evaluate the power: \(y=1\) Analyze the x intercept of the function \( y=18^{x} \) Function by following steps: - step0: Find the \(x\)-intercept/zero: \(y=18^{x}\) - step1: Set \(y\)=0\(:\) \(0=18^{x}\) - step2: Swap the sides: \(18^{x}=0\) - step3: The statement is false for any value of \(x:\) \(x \notin \mathbb{R}\) - step4: There is no \(x\)-intercept\(:\) \(\textrm{No x-intercept}\) Let's analyze the function \( y = 18^x \) and plot two points to help graph it. ### Step 1: Identify the y-intercept The y-intercept occurs when \( x = 0 \): \[ y = 18^0 = 1 \] So, the y-intercept is at the point \( (0, 1) \). ### Step 2: Identify the x-intercept The x-intercept occurs when \( y = 0 \). However, since \( 18^x \) is an exponential function, it never reaches zero. Therefore, there is no x-intercept. ### Step 3: Choose another point Let's choose \( x = 1 \) to find another point: \[ y = 18^1 = 18 \] So, another point is \( (1, 18) \). ### Summary of Points - The y-intercept is at \( (0, 1) \). - Another point is at \( (1, 18) \). ### Conclusion The two points we can use to graph the function \( y = 18^x \) are: 1. \( (0, 1) \) 2. \( (1, 18) \) You can plot these points on a graph to visualize the exponential growth of the function.