We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. Because the function \(h(x) = 2x^2 + 4x 9\) is a quadratic of degree 2, when graphed, it is a parabola (without any breaks or holes). Any value can be chosen for \(z\), so the domain of the function is all real numbers, or as written in interval notation, is: \(D:(\infty , \infty )\). WebWe can write the domain and range in interval notation, which uses values within brackets or parentheses to describe a set of numbers. 0% average accuracy. Since there is no upper bound for the Range we denote that with the Infinity Symbol which is always followed by the Open Interval symbol ). Notice that whenever we use the symbols, we use a round ( or ). Think of Infinity as NOT being a concrete endpoint. Learn. endstream endobj 59 0 obj <> endobj 60 0 obj <> endobj 61 0 obj <>stream Use a parenthesis with the lower-bound (-) and a square bracket with the upper-bound (4).Interval Notation: (-, 4]. Add highlights, virtual manipulatives, and more. A square bracket indicates inclusion in the set, and a parenthesis indicates exclusion from the set. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. Set the radicand greater than or equal to zero to find the domain: \(\begin{aligned} x 4 &\geq 0 && \text{Set the radicand greater than or equal to 0 }\\ x &\geq 4 &&\text{ Solve the inequality } \\ D&:[4, \infty ) &&\text{Write the solution in interval notation }\end{aligned}\). paste activity. Domain 0% average accuracy. Identify two things about this parabola: The sign of the coefficient of the leading term of the quadratic function (\(2x^2\) ) shows which way the parabola opens. parentheses are like strict inequalities. Domain and Range Domain and Range of a Function

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