2. Graphs of Equations

Evaluate each function at the given values of the independent variable and simplify. h(x) = x⁴ - x² +1 b. h (-1)

In Exercises 39–50, graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x, starting with -2 and ending with 2. Once you have obtained your graphs, describe how the graph of g is related to the graph of f. f(x) = x³, g(x) = x³ +2

Use the vertical line test to identify graphs in which y is a function of x.

In Exercises 11–26, determine whether each equation defines y as a function of x. 4x = y²

Let f and g be defined by the following table: Find $\sqrt{f(-1)-f\left(0\right)}-\left[g\right(2){]}^2+f(-2)÷g(2)\cdot g(-1).$

In Exercises 31–32, the domain of each piecewise function is (-∞, ∞) (a) Graph each function. (b) Use the graph to determine the function's range.

In Exercises 11–26, determine whether each equation defines y as a function of x. x = y²

In Exercises 11–26, determine whether each equation defines y as a function of x. x + y = 16

Graph each equation in Exercises 13 - 28. Let x = - 3, - 2, - 1, 0, 1, 2, 3

y = x³ - 1

Plot the given point in a rectangular coordinate system. (- 4, 0)

Evaluate each function at the given values of the independent variable and simplify. (a) f(-2), (b) f(1), (c) f(2)

Use the graph to determine (a) the function's domain, (b) the function's range, (c) the x-intercepts, if any, (d) the y-intercept, if there is one, (e) intervals on which the function is increasing, decreasing or constant, (f) the missing function values, indicated by question marks, below each graph.

Determine whether each relation is a funciton, Give the domain and range for each relation. (1, 10), (2, 500), (13, π)

Plot the given point in a rectangular coordinate system. (- 5/2, 3/2)

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify.f(x)=4x+5 a. f(6)