Cumulative Exam — Cumulative exam Answers

Jalen solved the equation by graphing. Which graph can Jalen use to show his solution?

Which statements accurately compare the functions in the graph? Select two options.

The amount of a sample remaining after t days is given by the equation , where A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18% of its original amount of Radon-222. The half-life of Radon-222 is about 3.8 days. Which is the best estimate for the age of the sample?

For what value of x does ?

A road is made in such a way that the center of the road is higher off the ground than the sides of the road, in order to allow rainwater to drain. A cross-section of the road can be represented on a graph using the function f(x) = (x – 16)(x + 16), where x represents the distance from the center of the road, in feet. Rounded to the nearest tenth, what is the maximum height of the road, in feet?

What is the solution to

What is the solution to the inequality ?

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

If , what is the value of c?

Consider the quadratic function. f(p) = p2 – 8p – 5What are the values of the coefficients and the constant in the function?

Jana is prescribed 250 mg of medication. Seventy-five percent of the medication remains in her body after each hour, h, according to the equation . Six hours later, Allison is prescribed the same medication. The medication remains in Allison’s body according to the equation . At any time after she has taken the medication, Allison has how many times more milligrams of medication in her body?

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.Ava’s graph is a vertical translation of f(x) = x2.Victor’s graph is a vertical translation of f(x) = x2.Ava’s graph moved 4 units from f(x) = x2 in a positive direction.Victor’s graph moved 4 units from f(x) = x2 in a positive direction.Ava’s graph has a y-intercept of 4.

What is the midpoint of the x-intercepts off(x) = (x – 4)(x + 4)?

The minimum of the graph of a quadratic function is located at (–1, 2). The point (2, 20) is also on the parabola. Which function represents the situation?

Which of the following is true regarding the solution to the logarithmic equation below?

What are the domain and range of f(x) = |x + 6|?

Dwight creates a table of values for a function and plots the points. He finds that one y value divided by the next y value produces the same answer each time. What kind of function did he graph?