Topics covered and examples: reteach.  Solve linear equation.

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Presentation transcript:

Topics covered and examples: reteach

 Solve linear equation.

 Solve the inequality; express your answer in interval notation. (Use ( ) and [ ] )

 Graph the system. Determine the solution by shading the solution region.

 Add to the output  Add to the input  Multiplying by the output  Multiplying by the input  Vertical flip (over x-axis)  Horizontal flip (over y-axis)

 Use the following functions to perform the following transformations: f(x)= 2x+3g(x)= -3x^2h(x)= 4  f(x)+7  f(x-1)  2*g(x)  h(x-1)  f(3x+5)  g(x)-8

 Perform the operation indicated.  Be careful not to multiply by habit, but rather look at the + or – signs carefully

 Perform synthetic division  Use remainder & factor theorems to test whether a given value is true or false

 Factor (x-k)zero/solution x=k  Set a factor=0 and solve for x to find the solution  Factor represents a piece of the original function,  zero represents where the function is crossing the x-axis (at y=0)

 If (a + bi) is a zero, then (a – bi) must be a zero.  Be able to find conjugates and test if a complex zero/factor is true.

 Compile a list of all possible rational zeros.  Which rational zeros are missing from the list of P/Q?

 Fully factor the following polynomial into its most reduced form.

 Find all real zeros of the polynomial.

 Linear positive  Linear negative  Quadratic positive  Quadratic negative  Polynomial even positive  Polynomial even negative  Polynomial odd positive  Polynomial odd negative