Questions: Question 5 10 pts For f(x)=5x^2+4x, find f(1/2). 29/2 28 13/4 9/2 Question 6 10 pts The -line test is used to determine whether or not a graph represents a function. Question 7 10 pts

Question 5
10 pts

For f(x)=5x^2+4x, find f(1/2).
29/2
28
13/4
9/2

Question 6
10 pts

The -line test is used to determine whether or not a graph represents a function.

Question 7
10 pts

Transcript text: Question 5 10 pts For $f(x)=5 x^{2}+4 x$, find $f\left(\frac{1}{2}\right)$. $\frac{29}{2}$ 28 $\frac{13}{4}$ $\frac{9}{2}$ Question 6 10 pts The $\square$ -line test is used to determine whether or not a graph represents a function. Question 7 10 pts

Solution

Solution Steps

Step 1: Substitute $ x = \frac{1}{2} $ into the function $ f(x) $

Given $ f(x) = 5x^{2} + 4x $, substitute $ x = \frac{1}{2} $: \[ f\left(\frac{1}{2}\right) = 5\left(\frac{1}{2}\right)^{2} + 4\left(\frac{1}{2}\right) \]

Step 2: Calculate $ \left(\frac{1}{2}\right)^{2} $

\[ \left(\frac{1}{2}\right)^{2} = \frac{1}{4} \]

Step 3: Substitute and simplify

\[ f\left(\frac{1}{2}\right) = 5\left(\frac{1}{4}\right) + 4\left(\frac{1}{2}\right) = \frac{5}{4} + 2 \] \[ \frac{5}{4} + 2 = \frac{5}{4} + \frac{8}{4} = \frac{13}{4} \]

Final Answer

$\boxed{\frac{13}{4}}$

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