Consider the piecewise function graphed:
Determine the function value for:
Determine if the graph is continuous or discontinuous at:
Consider the graph of y = f \left( x \right).
Find the function value at x = 2.
Is the graph continuous at x = 2?
Consider the graph of y = f \left( x \right) shown:
What is the function value at x = - 5?
Is the graph continuous at x = - 5?
Consider the graph of y = f \left( x \right) shown:
What is the function value at x = 4?
Is the graph continuous at x = 4?
Consider the graph of y = f \left( x \right):
Is the function defined for all real values of x?
Is the graph continuous at x = 4?
A function is defined as:
f\left(x\right) = \begin{cases} x + 9; & x \geq 8 \\ x - 3; & x < 8 \end{cases}
Evaluate:
f \left( 10 \right)
f \left( 7 \right)
f \left( 4 \right) + f \left( 10 \right)
A function is defined as:
f\left(x\right) = \begin{cases} x^{2} - 2; & x \geq 3\\ 4; & 0 < x < 3\\ 4 x; & x \leq 0 \end{cases}
Evaluate:
f \left( 4 \right)
f \left( 0.5 \right)
f \left( - 3 \right)
f \left( a \right), where a is a negative value
A function is defined as:
f\left(x\right) = \begin{cases} 4 x - 3; & x \geq 0\\ 7 - x^{2}; & x < 0 \end{cases}
Evaluate:
f \left( 5 \right) + f \left( - 5 \right)
f \left( 6 \right)^{2}
f \left( a^{2} \right), where a is any positive or negative integer
For which values of x are the following functions undefined?