Praxis Middle School Mathematics 5164 Domain 3: Functions

Given the function \( f(x) = 3x^2 - 2x + 1 \), what is \( f(-2) \)?

If \( g(x) = \frac{1}{x-2} \), for which values of \( x \) is \( g(x) \) undefined?

What is the range of the function \( h(x) = x^2 + 4 \) for \( x \geq 0 \)?

The function \( f(x) = 2^x \) represents an exponential growth. What is the rate of growth?

What is the inverse function of \( f(x) = 3x + 2 \)?

If the function \( k(x) = |x - 5| \) is graphed, what is its vertex?

What is the domain of the function \( f(x) = \sqrt{x + 3} \)?

If \( f(x) = x^3 \) and \( g(x) = x^2 \), what is \( (f \circ g)(x) \)?

The function \( f(x) = \log_2(x) \) is defined for what range of \( x \)?

Which function represents a linear growth with a slope of 3 and a y-intercept of -2?

If \( f(x) = 2x - 1 \) and \( g(x) = x + 3 \), what is \( (f \circ g)(2) \)?

If \( f(x) = 3x^2 - 2x + 5 \) and \( g(x) = x - 3 \), what is \( f(g(2)) \)?

Given the function \( h(x) = \frac{2x}{x^2 - 1} \), for which values of \( x \) is \( h(x) \) undefined?

If the graph of \( y = f(x) \) passes through the point (2, 3) and is a horizontal line, what is \( f(5) \)?

Which of the following represents the inverse function of \( f(x) = 2x + 3 \)?

What is the range of the function \( f(x) = \frac{1}{x - 2} \)?

If \( f(x) = x^2 - 4x \), what are the x-intercepts of the graph of \( f \)?

Which of the following is the graph of the function \( f(x) = |x - 2| + 1 \)?

Given \( f(x) = x^3 \) and \( g(x) = 3x \), what is \( (f \circ g)(2) \)?

If \( h(x) = 5 - 2x^2 \), what is the maximum value of \( h(x) \)?