Math Problem Statement

f(4.5)=2(4.5)-1

Solution

Let's calculate the value of f(4.5)f(4.5) using the given expression f(4.5)=2(4.5)1f(4.5) = 2(4.5) - 1.

f(4.5)=2(4.5)1f(4.5) = 2(4.5) - 1

First, multiply:

2(4.5)=92(4.5) = 9

Then, subtract 1:

f(4.5)=91=8f(4.5) = 9 - 1 = 8

So, f(4.5)=8f(4.5) = 8.

Would you like any further details or have any questions?

Here are 5 related questions to expand on this concept:

  1. How would you calculate f(2)f(2) using the same function rule?
  2. What is the slope of the function f(x)=2x1f(x) = 2x - 1?
  3. What is the y-intercept of the function f(x)=2x1f(x) = 2x - 1?
  4. How would the graph of f(x)=2x1f(x) = 2x - 1 look like?
  5. What happens to the function value as xx increases?

Tip: Understanding the structure of linear functions can help in quickly evaluating values for different xx.

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Math Problem Analysis

Mathematical Concepts

Linear Functions

Formulas

Function notation
Linear function formula

Theorems

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Suitable Grade Level

Grades 7-9