Question

lesson 5 summary
knowing the rule that defines a function can be very useful. it can help us to:

• find the output when we know the input.
• if the rule $f(x) = 5(x + 2)$ defines $f$, we can find $f(100)$ by evaluating $5(100 + 2)$.
• if $m(x) = 3 - \frac{1}{2}x$ defines function $m$, we can find $m(10)$ by evaluating $3 - \frac{1}{2}(10)$.
• create a table of values.

here are tables representing functions $f$ and $m$:

Explanation:

Step1: Evaluate \( f(100) \) for \( f(x) = 5(x + 2) \)

Substitute \( x = 100 \) into the function: \( 5(100 + 2) = 5\times102 = 510 \)

Step2: Evaluate \( m(10) \) for \( m(x) = 3 - \frac{1}{2}x \)

Substitute \( x = 10 \) into the function: \( 3 - \frac{1}{2}\times10 = 3 - 5 = -2 \)

Answer:

For \( f(100) \), the result is \( 510 \); for \( m(10) \), the result is \( -2 \)