Unit 2 MC HW Review

Given the function $$g\left(x\right)=16\cdot81^x$$ . Which of the following is an equivalent form for $$g\left(x\right)$$ ?

The function h is given by $$h\left(x\right)=-3\left(5\right)^{-x}$$ . Which of the following limit statements is true about the graph of h(x)?

Values of the terms of an arithmetic sequence $$a_n$$ are shown in the graph. Which of the following is an expression for the nth term of the arithmetic sequence?

The table above gives values for the functions f and g at selected values of x.  Functions f and g are defined for all real numbers.  Let h(x)=g(f(x)).  What is the value of h(5)?

The function $$f\left(x\right)=x^2-9$$ and the function g is given by $$g\left(x\right)=\frac{3x}{x-1}$$ . Which of the following is an expression for $$g\left(f\left(x\right)\right)$$ ?

The graph of the function g consists of two linear segments, shown above. Which of the following is the graph of $$g^{-1}\left(x\right)$$ , the inverse of $$y=g\left(x\right)$$ ?

Let f be an exponential function of the form $$f\left(x\right)=ab^x$$ where a and b are constants. If the function g is the result of a horizontal dilation by a factor of 3 to the graph of f, then which of the following equations could represent the function g?

In the years from 1900-2020, the US Population for people aged 65 and over has been increasing. An exponential regression was used to develop a model for the population. The figure above shows a graph of the residuals of the exponential regression. Which of the following statements about the exponential regression is true?

Let k, w, and z, be constants. Which of the following is equivalent to the expression?

The graph of a piecewise-linear function f is shown in the figure. Let g be the inverse function of f. What is the value of g(11)?