Question

svlc algebra 1a - standard (15260)
representing relationships
if $f(x) = 2x^2 + 1$, what is $f(x)$ when $x = 3$?
1
13
7
19

Explanation:

Step1: Substitute \( x = 3 \) into the function \( f(x) = 2x^2 + 1 \)

We replace \( x \) with 3 in the expression \( 2x^2 + 1 \), so we get \( 2\times(3)^2 + 1 \).

Step2: Calculate the exponent first

According to the order of operations (PEMDAS/BODMAS), we calculate the exponent \( 3^2 \) first. \( 3^2 = 9 \).

Step3: Multiply

Now we multiply 2 by the result of the exponentiation. So \( 2\times9 = 18 \).

Step4: Add

Finally, we add 1 to the result of the multiplication. \( 18 + 1 = 19 \).

Answer:

19 (corresponding to the option with 19)