Identify Characteristics of Absolute Value Functions II
Interactive practice questions
Consider the function $f\left(x\right)=\left|x\right|$f(x)=|x| that has been graphed. Notice that it opens upwards.
What is the gradient of the function for $x>0$x>0?
What is the gradient of the function for $x<0$x<0?
The graph below shows the graph of $y$y that results from reflecting $f\left(x\right)$f(x) across the $x$x-axis. State the equation of $y$y.
Select all the correct statements.
A downward absolute value function goes from decreasing to increasing.
An upward absolute value function goes from decreasing to increasing.
An upward absolute value function goes from increasing to decreasing.
A downward absolute value function goes from increasing to decreasing.
Consider the graph of function $f\left(x\right)$f(x).
Consider the graph of the function $f\left(x\right)$f(x).
Consider the graph of the function $f\left(x\right)$f(x).