D UNIT 1 REVIEW SUMMATIVE

The table below gives selected values for the function $h$.

Which of the following graphs could represent these data in a semi-log plot, where the vertical axis is logarithmically scaled?

(A)

(B)

(C)

(D)

Where both expressions are defined, which of the following is equivalent to $\dfrac{\sin(2x)\cdot\tan x}{\csc x}$?

The figure shows the graph of the sinusoidal function $f(x) = a \cos\left(\frac{1}{2}x\right) + d$ in the $xy$-plane, where $a$ and $d$ are constants. Which of the following gives the value of $a \cdot d$?

Given that the function $g(x) = (5x + 3)^2(x - 5)(x - 3)^k$ has its end behavior defined by $\lim_{x \to -\infty} g(x) = \infty$ and $\lim_{x \to \infty} g(x) = \infty$, which value of $k$ would satisfy the end behavior condition for the function?

Suppose that the function $h(x) = (x^2 + k)(x - 3)^2(x + 5)$ has two imaginary roots with integer coefficients. What value(s) of $k$ would satisfy these conditions?

What is the coefficient of $x$ in the expansion of $(2x + 5)^3$?

Let $h(x) = -2x^{2}(x+2)(x-3)$. What are all the intervals for which $h(x) > 0$?

Let $h$ be a polynomial function whose graph has a point of inflection at $x = 4$. Which of the following statements about $h$ must be true?

The function $y = f(x)$ has a domain of $-7 \le x \le 12$ and a range of $-3 \le y \le 6$. The graph of $y = g(x)$ is the result of the transformation $g(x) = f(x + 3) - 4$. Which of the following gives the domain of $g(x)$?