HSF.IF.A.2 math practice. Learn by doing.

HSF.IF.A.2 practice covers use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. Work through 8 free questions with answers and explanations, then continue in the related math games.

Grade 96 mapped skills
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8 free questions · 0/0 correct

Practice playeasy

The function ff is defined by f(x)=3x+22f(x) = -3x + 22. What is the value of f(x)f(x) when x=5x = 5?

Substitute x=5x = 5: f(5)=3(5)+22=15+22=7f(5) = -3(5) + 22 = -15 + 22 = 7.

Practice playeasy

The function ff is defined by f(x)=2x+15f(x) = -2x + 15. What is the value of f(x)f(x) when x=3x = 3?

Substitute x=3x = 3: f(3)=2(3)+15=6+15=9f(3) = -2(3) + 15 = -6 + 15 = 9.

Practice playeasy

For the function gg, g(0)=100g(0) = 100. For each increase in xx by 11, the value of g(x)g(x) increases by 50%50\%. What is the value of g(2)g(2)?

Each step multiplies by 1+0.50=1.51 + 0.50 = 1.5. So g(2)=1001.52=1002.25=225g(2) = 100 \cdot 1.5^2 = 100 \cdot 2.25 = 225.

Practice playeasy

b=1004hb = 100 - 4h

The equation shown gives the estimated battery charge
b,b\textsf{,} as a percent, remaining on a laptop after hh hours of use, where 0h20.0 \le h \le 20\textsf{.} What is the estimated battery charge, as a percent, remaining on the laptop after 1212 hours of use?

Substitute h=12:h = 12\textsf{:} b=1004(12)=10048=52.b = 100 - 4(12) = 100 - 48 = 52\textsf{.} The estimated charge remaining is 5252 percent.

Practice playmedium

The function WW is defined by W(t)=40t+120W(t) = 40t + 120. The function models the number of gallons of water in a tank tt minutes after filling begins. Which of the following is the best interpretation of the statement "W(5)W(5) is equal to 320320" in this context?

Here tt is minutes after filling begins and W(t)W(t) is gallons in the tank. So W(5)=320W(5) = 320 means that 55 minutes after filling begins, the tank holds 320320 gallons.

Practice playeasy

A football is kicked straight up from a stadium deck. Its height dd, in feet, above the playing field tt seconds after the kick is modeled by d(t)=16t2+64t+48d(t) = -16t^2 + 64t + 48. What is the height of the football, in feet, 33 seconds after it is kicked?

Substitute t=3t = 3: d(3)=16(32)+64(3)+48=144+192+48=96d(3) = -16(3^2) + 64(3) + 48 = -144 + 192 + 48 = 96 feet.

Practice playeasy

The function ff is defined by f(x)=7x4f(x) = 7x - 4. What is the value of f(x)f(x) when x=3x = 3?

Substitute x=3x = 3: f(3)=7(3)4=214=17f(3) = 7(3) - 4 = 21 - 4 = 17.

Practice playeasy

The function ff is defined by f(x)=5x7f(x) = 5x - 7. What is the value of f(x)f(x) when x=2x = 2?

Substitute x=2x = 2: f(2)=5(2)7=107=3f(2) = 5(2) - 7 = 10 - 7 = 3.

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