1. Let \( f(x)=2 x-7 \). (a) How do you read or say in words " \( f(x)^{"} \). (b) What is another common way to write " \( f(x)^{\prime \prime} \) ? (c) What is the input variable? What is the output variable? (d) What is the notation " \( f(5) \) " telling you to do? Go ahead and do that.

Let's go through each part of your question step by step. (a) The notation \( f(x)^{\prime} \) is read as "f prime of x." It represents the first derivative of the function \( f(x) \). (b) Another common way to write \( f(x)^{\prime \prime} \) is \( f''(x) \). This notation represents the second derivative of the function \( f(x) \). (c) The input variable is \( x \), and the output variable is \( f(x) \). In this context, \( f(x) \) is the value of the function when \( x \) is substituted into it. (d) The notation \( f(5) \) is telling you to evaluate the function \( f(x) \) at \( x = 5 \). To do that, we substitute \( 5 \) into the function: \[ f(5) = 2(5) - 7 = 10 - 7 = 3. \] So, \( f(5) = 3 \).