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Algebra: Linear & Quadratic Functions

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Questions and Answers

What is the range of the function f(x) = x²?

All real numbers

Only positive integers

All positive real numbers

All non-negative real numbers (correct)

What happens to the graph of the function f(x) = Ax² as the value of A increases?

The curve becomes steeper (correct)

The curve remains unchanged

The curve shifts to the left

The curve becomes less steep

What is the range of the function g(x) = x² + 2?

{g(x) ≥ -1}

{g(x) ≥ 2} (correct)

{g(x) ≥ 0}

All real numbers

What is the domain of the function f(x) = 2/x²?

All non-zero real numbers Signup and view all the answers

What is the equation of the axis of symmetry of the function f(x) = x² + 2?

x = 0 Signup and view all the answers

What is the range of the function i(x) = 2x²?

{i(x) ≥ 0} Signup and view all the answers

What is the equation of the function that passes through the points (0, 2) and (2, 6)?

f(x) = x² + 2 Signup and view all the answers

What is the vertex of the function f(x) = x² + 2?

(0, 2) Signup and view all the answers

What is the range of the function g(x) = -x² + 1?

{g(x) ≥ -1} Signup and view all the answers

What is the equation of the function that passes through the points (1, 3) and (-1, 3)?