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For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the v
Practice Questions
Q1
For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the value of f(1)?
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Questions & Step-by-Step Solutions
For the function f(x) = { x^2, x < 1; 3, x = 1; 2x, x > 1 }, what is the value of f(1)?
Steps
Concepts
Step 1: Identify the function f(x) which is defined in pieces based on the value of x.
Step 2: Look at the specific case when x = 1 in the piecewise function.
Step 3: According to the definition, when x = 1, the function f(x) is equal to 3.
Step 4: Therefore, the value of f(1) is 3.
Piecewise Functions
– Understanding how to evaluate functions that have different expressions based on the input value.
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