chemistry
please watch attachmentΒ
Classify the following functions as one of the types of functions that we have discussed
Find an equation of the quadratic below:
Find a formula for a cubic function if π(β2) = π(1) = π(3) = 0 and π(2) = 8
Section 1.1: A Review of Functions
What is a function?
A function is a rule that assigns to each value in the domain, D, exactly one value in the
range, R.
Ex 1) Let f(x) = 2x β 3. Find
a) f(β5)
b) f(2)
Ex 2) Use the vertical line test to identify graphs in which y is a function of x.
a) b) c) d)
Ex 3) Determine whether the relations are functions:
b) c)π) 2π₯ + π¦2 = 16 π¦ = π₯2 + 1 π¦ = πππ π₯
Once we know we have a rule that is a function, we want to know what the domain and range are for the
function.
Ex 4) Let andπ π₯( ) = π₯+1
π₯β2 π π₯( ) = π₯ + 2
Find the domain of each function.
Ex 5) Let f(x) = 2x β 3. State the domain of the function, and find:
a) f(β5)
b) f(2)
c) f(a +1)
d) f(x + h)
Ex 6) Simplify the difference quotient for
π π₯+β( )βπ(π₯)
β π π₯( ) = 3 β π₯2
Piecewise Functions:
Ex 7) Graph the piecewise function π π₯( ){π₯2 β 2π₯ + 1 πππ π₯ < 2 π₯ β 1| | πππ π₯ β₯2
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