# chemistry

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(β2) = 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(β5)

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¦ = πππ 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₯β2 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(β5)

b) f(2)

c) f(a +1)

d) f(x + h)

Ex 6) Simplify the difference quotient for
π π₯+β( )βπ(π₯)

β π π₯( ) = 3 β π₯2

Piecewise Functions:

Ex 7) Graph the piecewise function π π₯( ){π₯2 β 2π₯ + 1 πππ π₯ < 2 π₯ β 1| | πππ π₯ β₯2

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