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Chapter 2: Q. 4 (page 76)

If the point $(5, - 3)$ is a point on the graph of f, thenlocalid="1647336108610" $f (5) =$ ________.

Short Answer

Expert verified

The value of $f (5) = - 3$

Step by step solution

Step 1. Definition

For a function, no input has more than one output. The domain of a function is the set of all inputs; the range is the set of all outputs.

Step 2. Final answer

The input value is x-coordinate and the output value is y-coordinate in $(5, - 3)$ .

So, $f (x) = y$ .

Substitute value of $x = 5$ and $y = - 3$ in $f (x) = y$ ,

$f (5) = - 3$

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Most popular questions from this chapter

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

The short-term

(no more than $24$ hours) parking fee F (in dollars) for

parking x hours at O’Hare International Airport’s main

parking garage can be modeled by the function

role="math" localid="1645828501222" $F (x) = \{\begin{cases} 2 & i f 0 < x \leq 1 \\ 4 & i f 1 < x \leq 3 \\ 10 & i f 3 < x \leq 4 \\ 5 i n t (x + 1) + 2 & i f 4 < x < 9 \\ 51 & i f 9 \leq x \leq 24 \end{cases}$

Determine the fee for parking in the short-term parking

garage for

(a) $2$ hours

(b) $7$ hours

(d) $8$ hours and $24$ minutes

If the domain of $f$ is all real numbers in the interval $[0, 7]$ and the domain of g is all real numbers in the interval $[- 2, 5]$ , the domain of $f + g$ is all real numbers in the interval _________.

In March $2011$ , Peoples Energy had the following rate schedule for natural gas usage in single- family residences:

Monthly service charge- $\(18.95$

Per therm service charge

$1 s t 50$ therms- $\) 0.33372 / t h e r m$

Over $50$ therms- $\(0.12360 / t h e r m$

Gas charge- $\) 0.5038 / t h e r m$

(a) What is the charge for using $50$ therms in a month?

(b) What is the charge for using $500$ therms in a month?

(d) Graph the function found in part (c)

The interval (2, 5) can be written as the inequality ___________

See all solutions

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If the point 5,-3 is a point on the graph of f, thenlocalid="1647336108610" f5=________.

Short Answer

Step by step solution

Step 1. Definition

Step 2. Final answer

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Most popular questions from this chapter

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If the point $(5, - 3)$ is a point on the graph of f, thenlocalid="1647336108610" $f (5) =$ ________.