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Evaluating Functions with Given Parameters

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Evaluating Functions with Given Parameters

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Questions and Answers

What is a function?

A relation where the output determines the input

A relation where the input and output are the same

A relation where no two distinct ordered pairs have the same first element (correct)

A relation where each input has multiple outputs

In a function, what is the input variable also known as?

Control variable

Output variable

Independent variable (correct)

Dependent variable

Which of the following represents a function? $y = x^2 + 3$

$y = 3x$

$x^2 + y = 3$

$y = x^2 + 3$ (correct)

$x = y^2 + 3$

What does the dependent variable represent in a function?

The output variable Signup and view all the answers

Which operation involves multiplying two functions together?

Multiplication of functions Signup and view all the answers

What is a crucial step when looking for a function given x and y values?

Substitute values into the function choices Signup and view all the answers

How do you determine if an ordered pair is part of a function?

By checking if the first element is repeated with a different second element Signup and view all the answers

What should you be cautious of when writing piecewise functions?

Overlapping intervals Signup and view all the answers

What must you remember when solving operations on functions?

Combine like terms Signup and view all the answers

In which scenario should you factor a given function before cancellation?

Before division to cancel out terms Signup and view all the answers

What should you pay attention to when subtracting functions?

The change of signs Signup and view all the answers

How can you quickly narrow down choices when determining if an equation represents a function?

Check if it starts with 'f(x)=' or 'y=' Signup and view all the answers

What is the value of 𝑃(30) according to the provided definition?

3300 Signup and view all the answers

If 𝑓(𝑥) = 4𝑥 − 3, what is 𝑓(7) equal to?

29 Signup and view all the answers

How would you graph the function 𝑔(𝑥) = −2𝑥 + 5?

Straight line Signup and view all the answers

For a function 𝑚(𝑥) = 2𝑥 + 7, what is the value of 𝑚(−3)?

-11 Signup and view all the answers

If 𝑘(𝑥) = −3𝑥 + 4, what is the value of 𝑘(0)?

-3 Signup and view all the answers