Functions - ACT Math
Card 1 of 60
What transformation does $f(x) + k$ represent?
What transformation does $f(x) + k$ represent?
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If $f(x) = 2x + 4$, find $f^{-1}(x)$.
If $f(x) = 2x + 4$, find $f^{-1}(x)$.
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What is the vertex of $f(x) = (x - 3)^2 + 2$?
What is the vertex of $f(x) = (x - 3)^2 + 2$?
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What is the domain of $f(x) = \dfrac{1}{x}$?
What is the domain of $f(x) = \dfrac{1}{x}$?
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If $f(x) = x^2$, describe the graph of $g(x) = -x^2$.
If $f(x) = x^2$, describe the graph of $g(x) = -x^2$.
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What is the range of a function?
What is the range of a function?
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If $f(x) = 4x - 1$, find $f(0)$.
If $f(x) = 4x - 1$, find $f(0)$.
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What does the notation $f(x)$ mean?
What does the notation $f(x)$ mean?
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What is the $y$-intercept of $f(x) = -2x + 5$?
What is the $y$-intercept of $f(x) = -2x + 5$?
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If $f(x) = x^2$ and $g(x) = x - 1$, find $f(g(2))$.
If $f(x) = x^2$ and $g(x) = x - 1$, find $f(g(2))$.
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What is the vertex form of a quadratic function?
What is the vertex form of a quadratic function?
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What transformation does $af(x)$ represent when $a > 1$?
What transformation does $af(x)$ represent when $a > 1$?
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If $g(x) = x^2 - 4$, find $g(3)$.
If $g(x) = x^2 - 4$, find $g(3)$.
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If $f(x) = x^2$, describe the graph of $g(x) = 3x^2$.
If $f(x) = x^2$, describe the graph of $g(x) = 3x^2$.
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What is the domain of $f(x) = \sqrt{x}$?
What is the domain of $f(x) = \sqrt{x}$?
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What is an inverse function $f^{-1}(x)$?
What is an inverse function $f^{-1}(x)$?
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The graph of $f(x)$ passes through $(2, 5)$. What point does the graph of $f(x) + 3$ pass through?
The graph of $f(x)$ passes through $(2, 5)$. What point does the graph of $f(x) + 3$ pass through?
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If $h(x) = \dfrac{x}{2} + 1$, find $h(8)$.
If $h(x) = \dfrac{x}{2} + 1$, find $h(8)$.
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Does the graph of $y = 2x + 1$ represent a function?
Does the graph of $y = 2x + 1$ represent a function?
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What is the axis of symmetry for a parabola?
What is the axis of symmetry for a parabola?
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