Question: 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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