Grade 12 pre-calculus: Given f(x) = x – 7, what is f(12) equal to?

Question

Here is the question : GRADE 12 PRE-CALCULUS: GIVEN F(X) = X – 7, WHAT IS F(12) EQUAL TO?

Option

Here is the option for the question :

• 5
• 7
• 12
• 19

The Answer:

And, the answer for the the question is :

Explanation:

Calculus is built on the concept of functions. They are statements, guidelines, or laws that specify how one independent variable and one dependent variable relate to one another.

In Grade 12 pre-calculus, students explore various functions and their properties. Functions are mathematical relationships that map input values to output values. One fundamental operation involving functions is evaluating them at specific input values. Let’s consider an example where we are given the function (f(x) = x – 7) and asked to find the value of (f(12)). By substituting the input value into the function and performing the necessary calculations, we find that (f(12)) is equal to 5.

The function (f(x) = x – 7) represents a linear function, where the output ((f(x))) is determined by subtracting 7 from the input ((x)). To evaluate the function at a specific value, such as (f(12)), we replace (x) with the given input value and perform the corresponding calculations.

In this case, we substitute (x = 12) into the function:

(f(12) = 12 – 7).

Now, we simplify the expression:

(f(12) = 5).

Hence, (f(12)) is determined to be 5.

Understanding how to evaluate functions at specific input values is crucial as it allows us to determine the corresponding output values and analyze the behavior of functions for different inputs. Grade 12 students who develop a solid understanding of functions and their evaluation lay the foundation for more advanced topics such as calculus, mathematical modeling, and data analysis.

Functions are encountered in various real-life scenarios, including physics, economics, and engineering. They are used to describe relationships between variables, model processes, and make predictions. By mastering the concept of functions and their evaluation, students gain the ability to analyze real-world situations, identify patterns, and make mathematical predictions.

Furthermore, understanding functions enhances students’ critical thinking and problem-solving skills. It enables them to analyze mathematical relationships, identify key features of functions, and make connections between different mathematical concepts. By studying functions, students also develop a deeper appreciation for the role of mathematics in describing and understanding the world around us.

students will encounter more complex functions and explore topics such as function composition, inverse functions, and transformations. These advanced concepts further expand students’ mathematical toolkit and equip them with valuable analytical skills for a wide range of applications.

in Grade 12 pre-calculus, evaluating functions at specific input values is a fundamental skill. By substituting the input value into the function and performing the necessary calculations, we can find the corresponding output value. In the case of the function (f(x) = x – 7) and evaluating (f(12)), the value is determined to be 5. Mastering the concept of function evaluation not only improves mathematical proficiency but also enhances students’ problem-solving abilities and enables them to analyze and understand mathematical relationships in various contexts.