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24) Solve the inequality. (Enter your answer using interval notation.) x-4 over 2x+3 > 1 but there a line under the > 25) Westside Energy

24) Solve the inequality. (Enter your answer using interval notation.) x-4 over 2x+3 > 1 but there a line under the > 

25) Westside Energy charges its electric customers a base rate of$7.00per month,plus14per kilowatt-hour (kWh)for the first300 kWhused and7per kWhfor all usage over300 kWh.Suppose a customer usesxkWhof electricity in one month.(a) Express the monthly costEas a piecewise defined function ofx. (AssumeEis measured in dollars.)

E(x) =

if 0x300

if 300 <x

30) Sketch a graph of the piecewise defined function.

f(x) =

5 ifx1
x2 ifx>1

31) A quadratic functionfis given.

f(x) =x22x+3

(a) Expressfin standard form.

f(x) =

(b) Find the vertex andx- andy-intercepts off. (If an answer does not exist, enter DNE.)

vertex (x,y) =

x-intercept (x,y) =

y-intercept (x,y) =

c. sketch the graph

d) Find the domain and range of f. (Enter your answers using interval notation.)

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