2. Graphs of Equations

Evaluate each function at the given values of the independent variable and simplify. $f\left(r\right)=\sqrt{r+6}+3$

$\text{a. }f(-6)$

Evaluate each function at the given values of the independent variable and simplify. $f\left(r\right)=\sqrt{r+6}+3$

$\text{a. }f(x-6)$

In Exercises 27–38, evaluate each function at the given values of the independent variable and simplify. f(x) = |x+3|/|x + 3| a. f(5)

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

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

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

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

Use the graph of g to solve Exercises 71–76.

Find g(2)

Use the graph of g to solve Exercises 71–76.

For what value of x is g(x) = 1?

Use the graph of g to solve Exercises 71–76.

For what value of x is g(x) = -1?

Use the graph to determine a.the x-intercepts, if any; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Let f(x) = x² − x + 4 and g(x) = 3x – 5. Find g (1) and f(g(1)).

Simplify: $2(x+h{)}^2+3(x+h)+5-(2x^2+3x+5)$.

In Exercises 77–92, use the graph to determine a. the function's range; b. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

In Exercises 77–92, 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 any; and e. the missing function values, indicated by question marks, below each graph.