10 Questions
What is the domain of the function f(x) = x^2 - 5?
All real numbers
What is the range of the function g(x) = 2x + 1?
All real numbers
If f(x) = x^2 - 2 and g(x) = 2x + 1, what is the composition (f ∘ g)(x)?
x^2 + 4x - 2
What is the x-intercept of the quadratic function f(x) = x^2 - 4x + 3?
(-1, 0)
If f(x) = x^2 - 2 and g(x) = 2x + 1, what is the composition (g ∘ f)(x)?
2x^2 - 4x + 1
What is the vertex of the quadratic function f(x) = x^2 - 4x + 3?
(-1, 2)
What is the domain of the function f(x) = 1/x?
All real numbers except 0
If f(x) = x^2 - 2 and g(x) = 2x + 1, what is the composition (f ∘ g)(x) when x = 1?
1
What is the range of the function f(x) = x^2 - 5?
All real numbers
What is the equation of the quadratic function that passes through the points (1, 2), (2, 3), and (3, 4)?
f(x) = x^2 + 2x + 1
Evaluate different functions at specific points, including quadratic and rational functions. Practice substituting values into functions and simplifying expressions.
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