Math Problem Statement
Patrick is practicing evaluating functions. He is using the following functions.
f(x) = −6 + 14x g(x) = (2x + 9)2
He evaluates the functions for f(7) and g(−3). What values will he calculate?
Select TWO correct answers.
Solution
Let's evaluate the functions and for the given values and .
Function
Evaluate :
Function
Evaluate :
Final Answer
The values that Patrick will calculate are:
So the correct answers are and .
Would you like more details, or do you have any other questions?
Relative Questions:
- How do you evaluate functions for specific values of ?
- What is the general form of a linear function?
- How do you expand and simplify squared binomials like ?
- What happens if the input to a function is a fraction or a decimal?
- Can we evaluate these functions graphically using a graphing calculator?
Tip:
Always substitute the given value of carefully and follow the order of operations (PEMDAS) when evaluating functions.
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Math Problem Analysis
Mathematical Concepts
Functions
Evaluation of Functions
Quadratic Equations
Formulas
Function evaluation
Square of a binomial
Theorems
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Suitable Grade Level
Grades 9-10
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