Questions: Graphing and Functions Question 13, Part 1 of 2 Evaluate the function f(x)=x^2-5 at the given value of the variable. a. f(-4) b. f(3) a. f(-4)= (Simplify your answer.)

Graphing and Functions
Question 13,
Part 1 of 2

Evaluate the function f(x)=x^2-5 at the given value of the variable.
a. f(-4)
b. f(3)
a. f(-4)= (Simplify your answer.)
Transcript text: Graphing and Functions Question 13, Part 1 of 2 Evaluate the function $f(x)=x^{2}-5$ at the given value of the variable. a. $f(-4)$ b. $\mathrm{f}(3)$ a. $f(-4)=$ $\square$ (Simplify your answer.)
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Solution

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Solution Steps

Step 1: Substitute the given value or expression for $x$ into the function $f(x) = ax^2 + bx + c$

Given that $a = 1$, $b = 0$, $c = -5$, and $x = -4$, we substitute these into the function to get: $$f(-4) = 1(-4)^2 + 0(-4) - 5$$

Step 2: Simplify the expression

Since $x$ is a specific value, we directly compute $f(-4) = 1_-4^2 + 0_-4 - 5$.

Final Answer:

The value of the function at $x = -4$ is $f(-4) = 11$, rounded to 0 decimal places.

Step 1: Substitute the given value or expression for $x$ into the function $f(x) = ax^2 + bx + c$

Given that $a = 1$, $b = 0$, $c = -5$, and $x = 3$, we substitute these into the function to get: $$f(3) = 1(3)^2 + 0(3) - 5$$

Step 2: Simplify the expression

Since $x$ is a specific value, we directly compute $f(3) = 1_3^2 + 0_3 - 5$.

Final Answer:

The value of the function at $x = 3$ is $f(3) = 4$, rounded to 0 decimal places.

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